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Simplifying 33r2 + 4r + -5 = 0 Reorder the terms: -5 + 4r + 33r2 = 0 Solving -5 + 4r + 33r2 = 0 Solving for variable 'r'. Factor a trinomial. (-5 + -11r)(1 + -3r) = 0Subproblem 1
Set the factor '(-5 + -11r)' equal to zero and attempt to solve: Simplifying -5 + -11r = 0 Solving -5 + -11r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -11r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11r = 0 + 5 -11r = 0 + 5 Combine like terms: 0 + 5 = 5 -11r = 5 Divide each side by '-11'. r = -0.4545454545 Simplifying r = -0.4545454545Subproblem 2
Set the factor '(1 + -3r)' equal to zero and attempt to solve: Simplifying 1 + -3r = 0 Solving 1 + -3r = 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 + -3r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3r = 0 + -1 -3r = 0 + -1 Combine like terms: 0 + -1 = -1 -3r = -1 Divide each side by '-3'. r = 0.3333333333 Simplifying r = 0.3333333333Solution
r = {-0.4545454545, 0.3333333333}
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