4q^2+9q-9=0

Solution for 4q^2+9q-9=0 equation:

Simplifying
4q2 + 9q + -9 = 0

Reorder the terms:
-9 + 9q + 4q2 = 0

Solving
-9 + 9q + 4q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-3 + -1q)(3 + -4q) = 0

Subproblem 1
Set the factor '(-3 + -1q)' equal to zero and attempt to solve:

Simplifying
-3 + -1q = 0

Solving
-3 + -1q = 0

Move all terms containing q to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -1q = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1q = 0 + 3
-1q = 0 + 3

Combine like terms: 0 + 3 = 3
-1q = 3

Divide each side by '-1'.
q = -3

Simplifying
q = -3
Subproblem 2
Set the factor '(3 + -4q)' equal to zero and attempt to solve:

Simplifying
3 + -4q = 0

Solving
3 + -4q = 0

Move all terms containing q to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -4q = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4q = 0 + -3
-4q = 0 + -3

Combine like terms: 0 + -3 = -3
-4q = -3

Divide each side by '-4'.
q = 0.75

Simplifying
q = 0.75
Solution
q = {-3, 0.75}