Answer:
x = -3 or x = 2
Step-by-step explanation:
Re-arrange the terms into the standard quadratic equation form:
4x2 + 3x = 24 – x => 4x^2 + 4x - 24 = 0
Note that we can divide all four terms by 4, obtaining:
x^2 + x - 6 = 0 = (x + 3)(x - 2)
Then x = -3 or x = 2 are the desired solutions.