10r^2-400r=0

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Solution for 10r^2-400r=0 equation:


Simplifying
10r2 + -400r = 0

Reorder the terms:
-400r + 10r2 = 0

Solving
-400r + 10r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '10r'.
10r(-40 + r) = 0

Ignore the factor 10.

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 '(-40 + r)' equal to zero and attempt to solve: Simplifying -40 + r = 0 Solving -40 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + r = 0 + 40 Combine like terms: -40 + 40 = 0 0 + r = 0 + 40 r = 0 + 40 Combine like terms: 0 + 40 = 40 r = 40 Simplifying r = 40

Solution

r = {0, 40}

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