Which are solutions of the equation 4x2 - 7x = 3x + 24? Check all that apply.

x=4 x = - 3/2

Step-by-step explanation:

4x^2 - 7x = 3x + 24

Subtract 3x from each side

4x^2 - 7x-3x = 3x-3x + 24

4x^2 - 10x = 24

Subtract 24 from each side

4x^2 - 10 - 24 = 24 - 24

4x^2 - 10x-24=0

Divide each side by 2

4/2x^2 - 10/2x-24/2=0

2x^2-5x-12=0

Factor

(x - 4) (2 x + 3) = 0

Using the zero product property

x-4 = 0 2x+3 = 0

x=4 2x = - 3

x=4 x = - 3/2