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Simplifying 6r2 + -18r + -17r2 = 0 Reorder the terms: -18r + 6r2 + -17r2 = 0 Combine like terms: 6r2 + -17r2 = -11r2 -18r + -11r2 = 0 Solving -18r + -11r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '-1r'. -1r(18 + 11r) = 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 '(18 + 11r)' equal to zero and attempt to solve: Simplifying 18 + 11r = 0 Solving 18 + 11r = 0 Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 11r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 11r = 0 + -18 11r = 0 + -18 Combine like terms: 0 + -18 = -18 11r = -18 Divide each side by '11'. r = -1.636363636 Simplifying r = -1.636363636Solution
r = {0, -1.636363636}
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