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Simplifying -9(2r2 + -2r) + 2(10r2 + 10r) = 0 Reorder the terms: -9(-2r + 2r2) + 2(10r2 + 10r) = 0 (-2r * -9 + 2r2 * -9) + 2(10r2 + 10r) = 0 (18r + -18r2) + 2(10r2 + 10r) = 0 Reorder the terms: 18r + -18r2 + 2(10r + 10r2) = 0 18r + -18r2 + (10r * 2 + 10r2 * 2) = 0 18r + -18r2 + (20r + 20r2) = 0 Reorder the terms: 18r + 20r + -18r2 + 20r2 = 0 Combine like terms: 18r + 20r = 38r 38r + -18r2 + 20r2 = 0 Combine like terms: -18r2 + 20r2 = 2r2 38r + 2r2 = 0 Solving 38r + 2r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(19 + r) = 0 Ignore the factor 2.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 '(19 + r)' equal to zero and attempt to solve: Simplifying 19 + r = 0 Solving 19 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + r = 0 + -19 Combine like terms: 19 + -19 = 0 0 + r = 0 + -19 r = 0 + -19 Combine like terms: 0 + -19 = -19 r = -19 Simplifying r = -19Solution
r = {0, -19}
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