Answer:
x is equal to 3 and 3/4
Explanation:
First we factor the left side
4x² - 9x - 9 = 0
4x² - 12x + 3x - 9 = 0
4x(x - 3) + 3(x - 3) = 0
(4x + 3)(x - 3) = 0
We can then find the solutions by solving each term for zero:
4x + 3 =0
4x = 3
x = 3/4
And:
x - 3 = 0
x = 3
So x is equal to -3 and -3/4