2r^2-20r=0

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Solution for 2r^2-20r=0 equation:


Simplifying
2r2 + -20r = 0

Reorder the terms:
-20r + 2r2 = 0

Solving
-20r + 2r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2r'.
2r(-10 + r) = 0

Ignore the factor 2.

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}

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