r(r-7)=0

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Solution for r(r-7)=0 equation: 


Simplifying
r(r + -7) = 0

Reorder the terms:
r(-7 + r) = 0
(-7 * r + r * r) = 0
(-7r + r2) = 0

Solving
-7r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-7 + 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 '(-7 + r)' equal to zero and attempt to solve:

Simplifying
-7 + r = 0

Solving
-7 + r = 0

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

Add '7' to each side of the equation.
-7 + 7 + r = 0 + 7

Combine like terms: -7 + 7 = 0
0 + r = 0 + 7
r = 0 + 7

Combine like terms: 0 + 7 = 7
r = 7

Simplifying
r = 7
Solution
r = {0, 7}

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