Method Illuminate\Database\Eloquent\Collection::update does not exist.

My controller

<?php

namespace App\Http\Controllers\Admin;

use App\Http\Controllers\Controller;
use Illuminate\Http\Request;
use App\Models\Renting;
use App\Models\House;
use App\Enums\HouseStatus;
use App\Enums\HouseLocation;
use Illuminate\Support\Carbon;

use App\Http\Requests\RentingsStoreRequest;
use Illuminate\Support\Facades\Storage;

class RentingController extends Controller
{
    /**
     * Display a listing of the resource.
     *
     * @return \Illuminate\Http\Response
     */
    public function index()
    {
      
        $rentings = Renting::all();
        return view('admin.rentings.index', compact('rentings'));
    }

    /**
     * Show the form for creating a new resource.
     *
     * @return \Illuminate\Http\Response
     */
    public function create()

    {
        $houses = House::where('status',HouseStatus::Available)->get();
        return view('admin.rentings.create',compact('houses'));
    }

    /**
     * Store a newly created resource in storage.
     *
     * @param  \Illuminate\Http\Request  $request
     * @return \Illuminate\Http\Response
     */
    public function store(RentingsStoreRequest $request)
    {
        $house = House::findOrFail($request->house_id);
        if($request->ternant_number > $house->ternant_number){
            return back()->with('warning','PLease choose house based on number of ternants');
        }

        $request_date = Carbon::parse($request->ren_date);
        foreach ($house->rentings as $ren) {
            if($ren->ren_date->format('Y-m-d') == $request_date->format('Y-m-d')){
                return back()->with('warning','This house is already reserved for this date');
            }
        }

        Renting::create($request->validated());

        return to_route('admin.rentings.index')->with('success', 'Renting completed successfully');
        
    }

  

    /**
     * Display the specified resource.
     *
     * @param  int  $id
     * @return \Illuminate\Http\Response
     */
    public function show($id)
    {
        //
    }

    /**
     * Show the form for editing the specified resource.
     *
     * @param  int  $id
     * @return \Illuminate\Http\Response
     */
    public function edit(Renting $renting)
    {
        $houses = House::where('status', HouseStatus::Available)->get();
        return view('admin.rentings.edit', compact('renting', 'houses'));

    }

    /**
     * Update the specified resource in storage.
     *
     * @param  \Illuminate\Http\Request  $request
     * @param  int  $id
     * @return \Illuminate\Http\Response
     */
    public function update(RentingsStoreRequest $request, Renting $renting)
    {
        $house = House::findOrFail($request->house_id);
        if($request->ternant_number > $house->ternant_number){
            return back()->with('warning','PLease choose house based on number of ternants');
        }

        $request_date = Carbon::parse($request->ren_date);
        $rentings =$house->rentings()->where('id', '!=', $renting->id)->get();
        foreach ($rentings as $ren) {
            if($ren->ren_date->format('Y-m-d') == $request_date->format('Y-m-d')){
                return back()->with('warning','This house is already reserved for this date');
            }
        }

        $rentings->update($request->validated());
        return to_route('admin.rentings.index')->with('success', 'Renting updated successfully');
    }

    /**
     * Remove the specified resource from storage.
     *
     * @param  int  $id
     * @return \Illuminate\Http\Response
     */
    public function destroy(Renting $renting)
    {
        $renting = Renting::findOrFail($id);
        $renting->delete();
        return to_route('admin.rentings.index')->with('success', 'Renting deleted successfully');
    }
       
    }

my model

<?php

namespace App\Models;

use Illuminate\Database\Eloquent\Factories\HasFactory;
use Illuminate\Database\Eloquent\Model;

class Renting extends Model
{
    use HasFactory;

    protected $fillable = [
        'first_name',
        'last_name',
        'tel_number',
        'email',
        'house_id',
        'ren_date',
        'ternant_number',
        
        
    ];
    protected $dates = [

        'ren_date'
     ];

    public function house(){
        return $this->belongsTo(House::class);
    }
}

my view

<x-admin-layout>
    <x-slot name="header">
        <h2 class="font-semibold text-xl text-gray-800 dark:text-gray-200 leading-tight">
            {{ __('Dashboard') }}
        </h2>
    </x-slot>

    <div class="py-12">
        <div class="max-w-7xl mx-auto sm:px-6 lg:px-8">

            <div class=" flex justify-items-end m-2 p-2">
                <a href="{{ route('admin.rentings.create') }}" class="px-4 py-2 bg-indigo-500 hover:bg-indigo-600 rounded-lg text-white">New Rentings</a>
            </div>
                

            <div class="relative overflow-x-auto shadow-md sm:rounded-lg">
                <table class="w-full text-sm text-left text-gray-500 dark:text-gray-400">
                    <thead class="text-xs text-gray-700 uppercase bg-gray-50 dark:bg-gray-700 dark:text-gray-400">
                        <tr>
                            <th scope="col" class="px-6 py-3">
                                Name
                            </th>
                            <th scope="col" class="px-6 py-3">
                                Email
                            </th>
                            <th scope="col" class="px-6 py-3">
                                Date
                            </th>
                            <th scope="col" class="px-6 py-3">
                                House
                            </th>
                            <th scope="col" class="px-6 py-3">
                                Ternants
                            </th>
                            <th scope="col" class="px-6 py-3">
                                Action
                            </th>
                        </tr>
                    </thead>
                    <tbody>
                     @foreach ($rentings as $renting)
                     <tr class="bg-white border-b dark:bg-gray-900 dark:border-gray-700">
                        <th scope="row" class="px-6 py-4 font-medium text-gray-900 whitespace-nowrap dark:text-white">
                            {{ $renting->first_name }}  {{ $renting->last_name }}
                        </th>
                        <td class="px-6 py-4">
                            {{$renting->email }}
                        </td>
                        <td class="px-6 py-4">
                            {{$renting->ren_date }}
                        </td>
                        <td class="px-6 py-4">
                            {{$renting->house->name}}
                        </td>
                        <td class="px-6 py-4">
                            {{$renting->ternant_number}}
                        </td>
                        <td class="px-6 py-4">
                            <div class="flex space-x-2">
                        
                                <a href="{{ route('admin.rentings.edit', $renting->id) }}" 
                                    class="px-6 py-4 bg-indigo-500 hover:bg-red-600  rounded-lg text-white">Edit</a>
                                <form class="px-4 py-2 bg-red-500 hover:bg-red-700 rounded-lg text-white"
                                     method="POST"
                                     action="{{ route('admin.categories.destroy', $renting->id) }}"
                                     onsubmit="return confirm('Are you sure ?');">
                                     @csrf
                                     @method('DELETE')
                                     <button type="submit" class="inline-flex items-center px-4 py-2">Delete</button>
                            </form>
            
                              </div>
                        </td>
                    </tr>
                     @endforeach
                       
                    </tbody>
                </table>
            </div>
            

        </div>
    </div>
</x-admin-layout>