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Simplifying 55r2 + 57r + -28 = 0 Reorder the terms: -28 + 57r + 55r2 = 0 Solving -28 + 57r + 55r2 = 0 Solving for variable 'r'. Factor a trinomial. (-7 + -5r)(4 + -11r) = 0Subproblem 1
Set the factor '(-7 + -5r)' equal to zero and attempt to solve: Simplifying -7 + -5r = 0 Solving -7 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5r = 0 + 7 -5r = 0 + 7 Combine like terms: 0 + 7 = 7 -5r = 7 Divide each side by '-5'. r = -1.4 Simplifying r = -1.4Subproblem 2
Set the factor '(4 + -11r)' equal to zero and attempt to solve: Simplifying 4 + -11r = 0 Solving 4 + -11r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -11r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11r = 0 + -4 -11r = 0 + -4 Combine like terms: 0 + -4 = -4 -11r = -4 Divide each side by '-11'. r = 0.3636363636 Simplifying r = 0.3636363636Solution
r = {-1.4, 0.3636363636}
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