What are the solutions to the equation 4x2+3x=24-x

x=2                x=-3

Step-by-step explanation:

4x2+3x=24-x

Subtract 24 from each side

4x^2 +3x -24 = 24-24 -x

4x^2 +3x -24 = -x

Add x to each side

4x^2 +3x+x -24 = -x+x

4x^2 +4x -24 = 0

Factor out a 4

4(x^2 +x -6) = 0

Divide by 4

x^2 +x -6 =0

Factor

What 2 numbers multiply to -6 and add to 1

-2*3 = -6

-2+3 =1

(x-2) (x+3) =0

Using the zero product property

x-2 =0            x+3 =0

x-2+2=0+2    x+3-3=0-3

x=2                x=-3

i believe the correct answer is b.