12r^2-18r=0

Solution for 12r^2-18r=0 equation:

Simplifying
12r2 + -18r = 0

Reorder the terms:
-18r + 12r2 = 0

Solving
-18r + 12r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6r'.
6r(-3 + 2r) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-3 + 2r)' equal to zero and attempt to solve:

Simplifying
-3 + 2r = 0

Solving
-3 + 2r = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2r = 0 + 3

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

Combine like terms: 0 + 3 = 3
2r = 3

Divide each side by '2'.
r = 1.5

Simplifying
r = 1.5
Solution
r = {0, 1.5}