5r^2-10r=0

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Solution for 5r^2-10r=0 equation:


Simplifying
5r2 + -10r = 0

Reorder the terms:
-10r + 5r2 = 0

Solving
-10r + 5r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '5r'.
5r(-2 + r) = 0

Ignore the factor 5.

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 '(-2 + r)' equal to zero and attempt to solve: Simplifying -2 + r = 0 Solving -2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + r = 0 + 2 r = 0 + 2 Combine like terms: 0 + 2 = 2 r = 2 Simplifying r = 2

Solution

r = {0, 2}

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