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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 = 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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