answer
x = 2
x = -3
step-by-step explanation
4x^2 + 3x = 24 – x move all terms to one side
4x^2 + 4x = 24
4x^2 + 4x - 24 = 0 divide each side by 4
x^2 + x - 6 = 0/4 = 0
factor x^2 + x - 6 by finding two number whose product is -6 and sum is x
(x-2)(x+3) set each term equal to 0 and solve for x
x-2 = 0, x = 2
x+3 = 0, x = -3