12q=18q^2

Solution for 12q=18q^2 equation:

Simplifying
12q = 18q2

Solving
12q = 18q2

Solving for variable 'q'.

Combine like terms: 18q2 + -18q2 = 0
12q + -18q2 = 0

Factor out the Greatest Common Factor (GCF), '6q'.
6q(2 + -3q) = 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 '(2 + -3q)' equal to zero and attempt to solve:

Simplifying
2 + -3q = 0

Solving
2 + -3q = 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 + -3q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3q = 0 + -2
-3q = 0 + -2

Combine like terms: 0 + -2 = -2
-3q = -2

Divide each side by '-3'.
q = 0.6666666667

Simplifying
q = 0.6666666667
Solution
q = {0, 0.6666666667}