0=r^2-6r

Solution for 0=r^2-6r equation:

Simplifying
0 = r2 + -6r

Reorder the terms:
0 = -6r + r2

Solving
0 = -6r + r2

Solving for variable 'r'.
Remove the zero:
6r + -1r2 = -6r + r2 + 6r + -1r2

Reorder the terms:
6r + -1r2 = -6r + 6r + r2 + -1r2

Combine like terms: -6r + 6r = 0
6r + -1r2 = 0 + r2 + -1r2
6r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
6r + -1r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(6 + -1r) = 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 '(6 + -1r)' equal to zero and attempt to solve:

Simplifying
6 + -1r = 0

Solving
6 + -1r = 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 + -1r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 0 + -6
-1r = 0 + -6

Combine like terms: 0 + -6 = -6
-1r = -6

Divide each side by '-1'.
r = 6

Simplifying
r = 6
Solution
r = {0, 6}