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Simplifying 2r2 + -85 = -7r Reorder the terms: -85 + 2r2 = -7r Solving -85 + 2r2 = -7r Solving for variable 'r'. Reorder the terms: -85 + 7r + 2r2 = -7r + 7r Combine like terms: -7r + 7r = 0 -85 + 7r + 2r2 = 0 Factor a trinomial. (-17 + -2r)(5 + -1r) = 0Subproblem 1
Set the factor '(-17 + -2r)' equal to zero and attempt to solve: Simplifying -17 + -2r = 0 Solving -17 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -2r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2r = 0 + 17 -2r = 0 + 17 Combine like terms: 0 + 17 = 17 -2r = 17 Divide each side by '-2'. r = -8.5 Simplifying r = -8.5Subproblem 2
Set the factor '(5 + -1r)' equal to zero and attempt to solve: Simplifying 5 + -1r = 0 Solving 5 + -1r = 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 + -1r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 0 + -5 -1r = 0 + -5 Combine like terms: 0 + -5 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5Solution
r = {-8.5, 5}
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