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Simplifying 20r2 + -182r + -180 = 0 Reorder the terms: -180 + -182r + 20r2 = 0 Solving -180 + -182r + 20r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2'. 2(-90 + -91r + 10r2) = 0 Factor a trinomial. 2((-9 + -10r)(10 + -1r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -10r)' equal to zero and attempt to solve: Simplifying -9 + -10r = 0 Solving -9 + -10r = 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 + -10r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10r = 0 + 9 -10r = 0 + 9 Combine like terms: 0 + 9 = 9 -10r = 9 Divide each side by '-10'. r = -0.9 Simplifying r = -0.9Subproblem 2
Set the factor '(10 + -1r)' equal to zero and attempt to solve: Simplifying 10 + -1r = 0 Solving 10 + -1r = 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 + -1r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 0 + -10 -1r = 0 + -10 Combine like terms: 0 + -10 = -10 -1r = -10 Divide each side by '-1'. r = 10 Simplifying r = 10Solution
r = {-0.9, 10}
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