Answer:
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
