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Simplifying 10r2 = 400r Solving 10r2 = 400r Solving for variable 'r'. Reorder the terms: -400r + 10r2 = 400r + -400r Combine like terms: 400r + -400r = 0 -400r + 10r2 = 0 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 = 0Subproblem 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 = 40Solution
r = {0, 40}
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