Question

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

Answer 1

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