r^2-10r=0

Solution for r^2-10r=0 equation:

Simplifying
r2 + -10r = 0

Reorder the terms:
-10r + r2 = 0

Solving
-10r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-10 + r) = 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 '(-10 + r)' equal to zero and attempt to solve:

Simplifying
-10 + r = 0

Solving
-10 + r = 0

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

Add '10' to each side of the equation.
-10 + 10 + r = 0 + 10

Combine like terms: -10 + 10 = 0
0 + r = 0 + 10
r = 0 + 10

Combine like terms: 0 + 10 = 10
r = 10

Simplifying
r = 10
Solution
r = {0, 10}