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Simplifying 77r2 + 47r + -90 = 0 Reorder the terms: -90 + 47r + 77r2 = 0 Solving -90 + 47r + 77r2 = 0 Solving for variable 'r'. Factor a trinomial. (-10 + -7r)(9 + -11r) = 0Subproblem 1
Set the factor '(-10 + -7r)' equal to zero and attempt to solve: Simplifying -10 + -7r = 0 Solving -10 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -7r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -7r = 0 + 10 -7r = 0 + 10 Combine like terms: 0 + 10 = 10 -7r = 10 Divide each side by '-7'. r = -1.428571429 Simplifying r = -1.428571429Subproblem 2
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 = 0.8181818182Solution
r = {-1.428571429, 0.8181818182}
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