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Simplifying 5r + 12r = -4r2 + -4 Combine like terms: 5r + 12r = 17r 17r = -4r2 + -4 Reorder the terms: 17r = -4 + -4r2 Solving 17r = -4 + -4r2 Solving for variable 'r'. Reorder the terms: 4 + 17r + 4r2 = -4 + -4r2 + 4 + 4r2 Reorder the terms: 4 + 17r + 4r2 = -4 + 4 + -4r2 + 4r2 Combine like terms: -4 + 4 = 0 4 + 17r + 4r2 = 0 + -4r2 + 4r2 4 + 17r + 4r2 = -4r2 + 4r2 Combine like terms: -4r2 + 4r2 = 0 4 + 17r + 4r2 = 0 Factor a trinomial. (4 + r)(1 + 4r) = 0Subproblem 1
Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 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 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4Subproblem 2
Set the factor '(1 + 4r)' equal to zero and attempt to solve: Simplifying 1 + 4r = 0 Solving 1 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4r = 0 + -1 4r = 0 + -1 Combine like terms: 0 + -1 = -1 4r = -1 Divide each side by '4'. r = -0.25 Simplifying r = -0.25Solution
r = {-4, -0.25}
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