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Simplifying 55r2 + 43r + -72 = 0 Reorder the terms: -72 + 43r + 55r2 = 0 Solving -72 + 43r + 55r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -5r)(9 + -11r) = 0Subproblem 1
Set the factor '(-8 + -5r)' equal to zero and attempt to solve: Simplifying -8 + -5r = 0 Solving -8 + -5r = 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 + -5r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = 0 + 8 -5r = 0 + 8 Combine like terms: 0 + 8 = 8 -5r = 8 Divide each side by '-5'. r = -1.6 Simplifying r = -1.6Subproblem 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 = {-1.6, 0.8181818182}
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