4q^2=8q

Solution for 4q^2=8q equation:

Simplifying
4q2 = 8q

Solving
4q2 = 8q

Solving for variable 'q'.

Reorder the terms:
-8q + 4q2 = 8q + -8q

Combine like terms: 8q + -8q = 0
-8q + 4q2 = 0

Factor out the Greatest Common Factor (GCF), '4q'.
4q(-2 + q) = 0

Ignore the factor 4.
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 '(-2 + q)' equal to zero and attempt to solve:

Simplifying
-2 + q = 0

Solving
-2 + q = 0

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

Add '2' to each side of the equation.
-2 + 2 + q = 0 + 2

Combine like terms: -2 + 2 = 0
0 + q = 0 + 2
q = 0 + 2

Combine like terms: 0 + 2 = 2
q = 2

Simplifying
q = 2
Solution
q = {0, 2}