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Simplifying 77r2 + 30r + -27 = 0 Reorder the terms: -27 + 30r + 77r2 = 0 Solving -27 + 30r + 77r2 = 0 Solving for variable 'r'. Factor a trinomial. (-9 + -11r)(3 + -7r) = 0Subproblem 1
Set the factor '(-9 + -11r)' equal to zero and attempt to solve: Simplifying -9 + -11r = 0 Solving -9 + -11r = 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 + -11r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -11r = 0 + 9 -11r = 0 + 9 Combine like terms: 0 + 9 = 9 -11r = 9 Divide each side by '-11'. r = -0.8181818182 Simplifying r = -0.8181818182Subproblem 2
Set the factor '(3 + -7r)' equal to zero and attempt to solve: Simplifying 3 + -7r = 0 Solving 3 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7r = 0 + -3 -7r = 0 + -3 Combine like terms: 0 + -3 = -3 -7r = -3 Divide each side by '-7'. r = 0.4285714286 Simplifying r = 0.4285714286Solution
r = {-0.8181818182, 0.4285714286}
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