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Simplifying r2 = 2r2 + 15r Reorder the terms: r2 = 15r + 2r2 Solving r2 = 15r + 2r2 Solving for variable 'r'. Reorder the terms: -15r + r2 + -2r2 = 15r + 2r2 + -15r + -2r2 Combine like terms: r2 + -2r2 = -1r2 -15r + -1r2 = 15r + 2r2 + -15r + -2r2 Reorder the terms: -15r + -1r2 = 15r + -15r + 2r2 + -2r2 Combine like terms: 15r + -15r = 0 -15r + -1r2 = 0 + 2r2 + -2r2 -15r + -1r2 = 2r2 + -2r2 Combine like terms: 2r2 + -2r2 = 0 -15r + -1r2 = 0 Factor out the Greatest Common Factor (GCF), '-1r'. -1r(15 + r) = 0 Ignore the factor -1.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 '(15 + r)' equal to zero and attempt to solve: Simplifying 15 + r = 0 Solving 15 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + r = 0 + -15 Combine like terms: 15 + -15 = 0 0 + r = 0 + -15 r = 0 + -15 Combine like terms: 0 + -15 = -15 r = -15 Simplifying r = -15Solution
r = {0, -15}
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