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Simplifying 77r2 + 45r + -8 = 0 Reorder the terms: -8 + 45r + 77r2 = 0 Solving -8 + 45r + 77r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -11r)(1 + -7r) = 0Subproblem 1
Set the factor '(-8 + -11r)' equal to zero and attempt to solve: Simplifying -8 + -11r = 0 Solving -8 + -11r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -11r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -11r = 0 + 8 -11r = 0 + 8 Combine like terms: 0 + 8 = 8 -11r = 8 Divide each side by '-11'. r = -0.7272727273 Simplifying r = -0.7272727273Subproblem 2
Set the factor '(1 + -7r)' equal to zero and attempt to solve: Simplifying 1 + -7r = 0 Solving 1 + -7r = 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 + -7r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7r = 0 + -1 -7r = 0 + -1 Combine like terms: 0 + -1 = -1 -7r = -1 Divide each side by '-7'. r = 0.1428571429 Simplifying r = 0.1428571429Solution
r = {-0.7272727273, 0.1428571429}
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