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Simplifying 77r2 + 10r + -48 = 0 Reorder the terms: -48 + 10r + 77r2 = 0 Solving -48 + 10r + 77r2 = 0 Solving for variable 'r'. Factor a trinomial. (-6 + -7r)(8 + -11r) = 0Subproblem 1
Set the factor '(-6 + -7r)' equal to zero and attempt to solve: Simplifying -6 + -7r = 0 Solving -6 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7r = 0 + 6 -7r = 0 + 6 Combine like terms: 0 + 6 = 6 -7r = 6 Divide each side by '-7'. r = -0.8571428571 Simplifying r = -0.8571428571Subproblem 2
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 = 0.7272727273Solution
r = {-0.8571428571, 0.7272727273}
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