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Simplifying 33r2 + 74r + -7 = 0 Reorder the terms: -7 + 74r + 33r2 = 0 Solving -7 + 74r + 33r2 = 0 Solving for variable 'r'. Factor a trinomial. (-7 + -3r)(1 + -11r) = 0Subproblem 1
Set the factor '(-7 + -3r)' equal to zero and attempt to solve: Simplifying -7 + -3r = 0 Solving -7 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3r = 0 + 7 -3r = 0 + 7 Combine like terms: 0 + 7 = 7 -3r = 7 Divide each side by '-3'. r = -2.333333333 Simplifying r = -2.333333333Subproblem 2
Set the factor '(1 + -11r)' equal to zero and attempt to solve: Simplifying 1 + -11r = 0 Solving 1 + -11r = 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 + -11r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11r = 0 + -1 -11r = 0 + -1 Combine like terms: 0 + -1 = -1 -11r = -1 Divide each side by '-11'. r = 0.09090909091 Simplifying r = 0.09090909091Solution
r = {-2.333333333, 0.09090909091}
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