Answer:
x = -2, x = 2.25
Step-by-step explanation:
We can use factoring (splitting the middle term) to solve this:
4x^2 - 9x + 8x - 18 = 0
x(4x - 9) + 2(4x - 9) = 0
(x + 2)(4x - 9) = 0
Now we can set each factor equal to 0 using the Zero Product Property to get our final answer.
x + 2 = 0
x = -2
4x - 9 = 0
4x = 9
x = 9/4 = 2.25