9q^2+9q+2=0

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

Simplifying
9q2 + 9q + 2 = 0

Reorder the terms:
2 + 9q + 9q2 = 0

Solving
2 + 9q + 9q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(2 + 3q)(1 + 3q) = 0

Subproblem 1
Set the factor '(2 + 3q)' equal to zero and attempt to solve:

Simplifying
2 + 3q = 0

Solving
2 + 3q = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3q = 0 + -2
3q = 0 + -2

Combine like terms: 0 + -2 = -2
3q = -2

Divide each side by '3'.
q = -0.6666666667

Simplifying
q = -0.6666666667
Subproblem 2
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
Solution
q = {-0.6666666667, -0.3333333333}