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Simplifying 4r2 + -85 = -3r Reorder the terms: -85 + 4r2 = -3r Solving -85 + 4r2 = -3r Solving for variable 'r'. Reorder the terms: -85 + 3r + 4r2 = -3r + 3r Combine like terms: -3r + 3r = 0 -85 + 3r + 4r2 = 0 Factor a trinomial. (-5 + -1r)(17 + -4r) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(17 + -4r)' equal to zero and attempt to solve: Simplifying 17 + -4r = 0 Solving 17 + -4r = 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 + -4r = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -4r = 0 + -17 -4r = 0 + -17 Combine like terms: 0 + -17 = -17 -4r = -17 Divide each side by '-4'. r = 4.25 Simplifying r = 4.25Solution
r = {-5, 4.25}
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