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Simplifying 55r2 + 7400r + -170000 = 0 Reorder the terms: -170000 + 7400r + 55r2 = 0 Solving -170000 + 7400r + 55r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5'. 5(-34000 + 1480r + 11r2) = 0 Factor a trinomial. 5((-1700 + -11r)(20 + -1r)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1700 + -11r)' equal to zero and attempt to solve: Simplifying -1700 + -11r = 0 Solving -1700 + -11r = 0 Move all terms containing r to the left, all other terms to the right. Add '1700' to each side of the equation. -1700 + 1700 + -11r = 0 + 1700 Combine like terms: -1700 + 1700 = 0 0 + -11r = 0 + 1700 -11r = 0 + 1700 Combine like terms: 0 + 1700 = 1700 -11r = 1700 Divide each side by '-11'. r = -154.5454545 Simplifying r = -154.5454545Subproblem 2
Set the factor '(20 + -1r)' equal to zero and attempt to solve: Simplifying 20 + -1r = 0 Solving 20 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1r = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1r = 0 + -20 -1r = 0 + -20 Combine like terms: 0 + -20 = -20 -1r = -20 Divide each side by '-1'. r = 20 Simplifying r = 20Solution
r = {-154.5454545, 20}
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