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Simplifying r2 + 17r + 60 = r + -4 Reorder the terms: 60 + 17r + r2 = r + -4 Reorder the terms: 60 + 17r + r2 = -4 + r Solving 60 + 17r + r2 = -4 + r Solving for variable 'r'. Reorder the terms: 60 + 4 + 17r + -1r + r2 = -4 + r + 4 + -1r Combine like terms: 60 + 4 = 64 64 + 17r + -1r + r2 = -4 + r + 4 + -1r Combine like terms: 17r + -1r = 16r 64 + 16r + r2 = -4 + r + 4 + -1r Reorder the terms: 64 + 16r + r2 = -4 + 4 + r + -1r Combine like terms: -4 + 4 = 0 64 + 16r + r2 = 0 + r + -1r 64 + 16r + r2 = r + -1r Combine like terms: r + -1r = 0 64 + 16r + r2 = 0 Factor a trinomial. (8 + r)(8 + r) = 0Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8Subproblem 2
Set the factor '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8Solution
r = {-8, -8}
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