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}