6r(3r-6)=

Solution for 6r(3r-6)= equation:

Simplifying
6r(3r + -6) = 0

Reorder the terms:
6r(-6 + 3r) = 0
(-6 * 6r + 3r * 6r) = 0
(-36r + 18r2) = 0

Solving
-36r + 18r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '18r'.
18r(-2 + r) = 0

Ignore the factor 18.
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 '(-2 + r)' equal to zero and attempt to solve:

Simplifying
-2 + r = 0

Solving
-2 + r = 0

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

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

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

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

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