r^2-8r=0

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Solution for r^2-8r=0 equation: 


Simplifying
r2 + -8r = 0

Reorder the terms:
-8r + r2 = 0

Solving
-8r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-8 + 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 '(-8 + r)' equal to zero and attempt to solve:

Simplifying
-8 + r = 0

Solving
-8 + r = 0

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

Add '8' to each side of the equation.
-8 + 8 + r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + r = 0 + 8
r = 0 + 8

Combine like terms: 0 + 8 = 8
r = 8

Simplifying
r = 8
Solution
r = {0, 8}

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