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Simplifying -14r3 + -34r2 + -20r = 0 Reorder the terms: -20r + -34r2 + -14r3 = 0 Solving -20r + -34r2 + -14r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '-2r'. -2r(10 + 17r + 7r2) = 0 Factor a trinomial. -2r((10 + 7r)(1 + 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 '(10 + 7r)' equal to zero and attempt to solve: Simplifying 10 + 7r = 0 Solving 10 + 7r = 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 + 7r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7r = 0 + -10 7r = 0 + -10 Combine like terms: 0 + -10 = -10 7r = -10 Divide each side by '7'. r = -1.428571429 Simplifying r = -1.428571429Subproblem 3
Set the factor '(1 + r)' equal to zero and attempt to solve: Simplifying 1 + r = 0 Solving 1 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r = 0 + -1 r = 0 + -1 Combine like terms: 0 + -1 = -1 r = -1 Simplifying r = -1Solution
r = {0, -1.428571429, -1}
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