15r^2-86r=0

Solution for 15r^2-86r=0 equation:

Simplifying
15r2 + -86r = 0

Reorder the terms:
-86r + 15r2 = 0

Solving
-86r + 15r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-86 + 15r) = 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 '(-86 + 15r)' equal to zero and attempt to solve:

Simplifying
-86 + 15r = 0

Solving
-86 + 15r = 0

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

Add '86' to each side of the equation.
-86 + 86 + 15r = 0 + 86

Combine like terms: -86 + 86 = 0
0 + 15r = 0 + 86
15r = 0 + 86

Combine like terms: 0 + 86 = 86
15r = 86

Divide each side by '15'.
r = 5.733333333

Simplifying
r = 5.733333333
Solution
r = {0, 5.733333333}