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Simplifying r(r + -10) = 0 Reorder the terms: r(-10 + r) = 0 (-10 * r + r * r) = 0 (-10r + r2) = 0 Solving -10r + r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-10 + r) = 0Subproblem 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 '(-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 = 10Solution
r = {0, 10}
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