-6q=q^2

Solution for -6q=q^2 equation:

Simplifying
-6q = q2

Solving
-6q = q2

Solving for variable 'q'.

Combine like terms: q2 + -1q2 = 0
-6q + -1q2 = 0

Factor out the Greatest Common Factor (GCF), '-1q'.
-1q(6 + q) = 0

Ignore the factor -1.
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}