q^2=10q

Solution for q^2=10q equation:

Simplifying
q2 = 10q

Solving
q2 = 10q

Solving for variable 'q'.

Reorder the terms:
-10q + q2 = 10q + -10q

Combine like terms: 10q + -10q = 0
-10q + q2 = 0

Factor out the Greatest Common Factor (GCF), 'q'.
q(-10 + 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 '(-10 + q)' equal to zero and attempt to solve:

Simplifying
-10 + q = 0

Solving
-10 + q = 0

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

Add '10' to each side of the equation.
-10 + 10 + q = 0 + 10

Combine like terms: -10 + 10 = 0
0 + q = 0 + 10
q = 0 + 10

Combine like terms: 0 + 10 = 10
q = 10

Simplifying
q = 10
Solution
q = {0, 10}