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Simplifying 77r2 + 53r + -40 = 0 Reorder the terms: -40 + 53r + 77r2 = 0 Solving -40 + 53r + 77r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -7r)(5 + -11r) = 0Subproblem 1
Set the factor '(-8 + -7r)' equal to zero and attempt to solve: Simplifying -8 + -7r = 0 Solving -8 + -7r = 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 + -7r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7r = 0 + 8 -7r = 0 + 8 Combine like terms: 0 + 8 = 8 -7r = 8 Divide each side by '-7'. r = -1.142857143 Simplifying r = -1.142857143Subproblem 2
Set the factor '(5 + -11r)' equal to zero and attempt to solve: Simplifying 5 + -11r = 0 Solving 5 + -11r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -11r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -11r = 0 + -5 -11r = 0 + -5 Combine like terms: 0 + -5 = -5 -11r = -5 Divide each side by '-11'. r = 0.4545454545 Simplifying r = 0.4545454545Solution
r = {-1.142857143, 0.4545454545}
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