r(6r-5)=

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

Simplifying
r(6r + -5) = 0

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

Solving
-5r + 6r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-5 + 6r) = 0

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 '(-5 + 6r)' equal to zero and attempt to solve:

Simplifying
-5 + 6r = 0

Solving
-5 + 6r = 0

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

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

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

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

Divide each side by '6'.
r = 0.8333333333

Simplifying
r = 0.8333333333
Solution
r = {0, 0.8333333333}