how do i work this problem?
Solve by factoring: 6x2 + x = 5
{1, 5}
{-1, 5/6}
{-1, 5}
{1, 5/6}

Question

how do i work this problem?
Solve by factoring: 6x2 + x = 5 
    {1, 5} 
   {-1, 5/6} 
   {-1, 5} 
   {1, 5/6}

hero · Answer

`1.` Subtract 5 from both sides
`2.` Find two numbers that multiply to get $ac$, yet add to get $b$
`3.` Split the middle term using those two numbers
`4.` Factor by grouping
`5.` Notice the common term that remains. Factor that out as well
`6.` Use zero product property to find x

`1.` $6x^2 + x - 5 = 0$
`2.`  $6 \times -5 = -30$
     $6 - 5 = 1$

`3.` $6x^2 + 6x - 5x - 5$
`4.` $6x(x + 1) - 5(x + 1)$

`5.` x + 1 is still common to both terms so factoring it out results in:
       $(x+1)(6x - 5)$

`6.` Set the above equal to zero, and solve for x:
        $(x + 1)(6x - 5) = 0$
             $x + 1 = 0$
           $6x - 5 = 0$

I'll leave that part for you to finish solving.