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Simplifying -2r2 + -9r = 0 Reorder the terms: -9r + -2r2 = 0 Solving -9r + -2r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '-1r'. -1r(9 + 2r) = 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 '(9 + 2r)' equal to zero and attempt to solve: Simplifying 9 + 2r = 0 Solving 9 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2r = 0 + -9 2r = 0 + -9 Combine like terms: 0 + -9 = -9 2r = -9 Divide each side by '2'. r = -4.5 Simplifying r = -4.5Solution
r = {0, -4.5}
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