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Simplifying 77r2 + 15r + -2 = 0 Reorder the terms: -2 + 15r + 77r2 = 0 Solving -2 + 15r + 77r2 = 0 Solving for variable 'r'. Factor a trinomial. (-2 + -7r)(1 + -11r) = 0Subproblem 1
Set the factor '(-2 + -7r)' equal to zero and attempt to solve: Simplifying -2 + -7r = 0 Solving -2 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7r = 0 + 2 -7r = 0 + 2 Combine like terms: 0 + 2 = 2 -7r = 2 Divide each side by '-7'. r = -0.2857142857 Simplifying r = -0.2857142857Subproblem 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 = {-0.2857142857, 0.09090909091}
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