q^2=-5q

Solution for q^2=-5q equation:

Simplifying
q2 = -5q

Solving
q2 = -5q

Solving for variable 'q'.

Reorder the terms:
5q + q2 = -5q + 5q

Combine like terms: -5q + 5q = 0
5q + q2 = 0

Factor out the Greatest Common Factor (GCF), 'q'.
q(5 + 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 '(5 + q)' equal to zero and attempt to solve:

Simplifying
5 + q = 0

Solving
5 + q = 0

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

Add '-5' to each side of the equation.
5 + -5 + q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + q = 0 + -5
q = 0 + -5

Combine like terms: 0 + -5 = -5
q = -5

Simplifying
q = -5
Solution
q = {0, -5}