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Simplifying r2 + 17r = -52 Reorder the terms: 17r + r2 = -52 Solving 17r + r2 = -52 Solving for variable 'r'. Reorder the terms: 52 + 17r + r2 = -52 + 52 Combine like terms: -52 + 52 = 0 52 + 17r + r2 = 0 Factor a trinomial. (13 + r)(4 + r) = 0Subproblem 1
Set the factor '(13 + r)' equal to zero and attempt to solve: Simplifying 13 + r = 0 Solving 13 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + r = 0 + -13 r = 0 + -13 Combine like terms: 0 + -13 = -13 r = -13 Simplifying r = -13Subproblem 2
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 = -4Solution
r = {-13, -4}
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