9q^2-9q-4=0

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

Simplifying
9q2 + -9q + -4 = 0

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

Solving
-4 + -9q + 9q2 = 0

Solving for variable 'q'.

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

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

Simplifying
-1 + -3q = 0

Solving
-1 + -3q = 0

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

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

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

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

Divide each side by '-3'.
q = -0.3333333333

Simplifying
q = -0.3333333333
Subproblem 2
Set the factor '(4 + -3q)' equal to zero and attempt to solve:

Simplifying
4 + -3q = 0

Solving
4 + -3q = 0

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

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

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

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

Divide each side by '-3'.
q = 1.333333333

Simplifying
q = 1.333333333
Solution
q = {-0.3333333333, 1.333333333}