6q^2-24q=0

Solution for 6q^2-24q=0 equation:

Simplifying
6q2 + -24q = 0

Reorder the terms:
-24q + 6q2 = 0

Solving
-24q + 6q2 = 0

Solving for variable 'q'.

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}