6q^2=-24q

Solution for 6q^2=-24q equation:

Simplifying
6q2 = -24q

Solving
6q2 = -24q

Solving for variable 'q'.

Reorder the terms:
24q + 6q2 = -24q + 24q

Combine like terms: -24q + 24q = 0
24q + 6q2 = 0

Factor out the Greatest Common Factor (GCF), '6q'.
6q(4 + q) = 0

Ignore the factor 6.
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 '(4 + q)' equal to zero and attempt to solve:

Simplifying
4 + q = 0

Solving
4 + q = 0

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

Add '-4' to each side of the equation.
4 + -4 + q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + q = 0 + -4
q = 0 + -4

Combine like terms: 0 + -4 = -4
q = -4

Simplifying
q = -4
Solution
q = {0, -4}