6r(5r-6)=0

Solution for 6r(5r-6)=0 equation:

Simplifying
6r(5r + -6) = 0

Reorder the terms:
6r(-6 + 5r) = 0
(-6 * 6r + 5r * 6r) = 0
(-36r + 30r2) = 0

Solving
-36r + 30r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6r'.
6r(-6 + 5r) = 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 '(-6 + 5r)' equal to zero and attempt to solve:

Simplifying
-6 + 5r = 0

Solving
-6 + 5r = 0

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

Add '6' to each side of the equation.
-6 + 6 + 5r = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5r = 0 + 6
5r = 0 + 6

Combine like terms: 0 + 6 = 6
5r = 6

Divide each side by '5'.
r = 1.2

Simplifying
r = 1.2
Solution
r = {0, 1.2}