q^2=-9q

Solution for q^2=-9q equation:

Simplifying
q2 = -9q

Solving
q2 = -9q

Solving for variable 'q'.

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

Combine like terms: -9q + 9q = 0
9q + q2 = 0

Factor out the Greatest Common Factor (GCF), 'q'.
q(9 + q) = 0

Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0
Subproblem 2
Set the factor '(9 + q)' equal to zero and attempt to solve:

Simplifying
9 + q = 0

Solving
9 + q = 0

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

Add '-9' to each side of the equation.
9 + -9 + q = 0 + -9

Combine like terms: 9 + -9 = 0
0 + q = 0 + -9
q = 0 + -9

Combine like terms: 0 + -9 = -9
q = -9

Simplifying
q = -9
Solution
q = {0, -9}