q^2=6q

Solution for q^2=6q equation:

Simplifying
q2 = 6q

Solving
q2 = 6q

Solving for variable 'q'.

Reorder the terms:
-6q + q2 = 6q + -6q

Combine like terms: 6q + -6q = 0
-6q + q2 = 0

Factor out the Greatest Common Factor (GCF), 'q'.
q(-6 + 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 '(-6 + q)' equal to zero and attempt to solve:

Simplifying
-6 + q = 0

Solving
-6 + q = 0

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

Add '6' to each side of the equation.
-6 + 6 + q = 0 + 6

Combine like terms: -6 + 6 = 0
0 + q = 0 + 6
q = 0 + 6

Combine like terms: 0 + 6 = 6
q = 6

Simplifying
q = 6
Solution
q = {0, 6}