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Simplifying r2 = -8 + -6r Solving r2 = -8 + -6r Solving for variable 'r'. Reorder the terms: 8 + 6r + r2 = -8 + -6r + 8 + 6r Reorder the terms: 8 + 6r + r2 = -8 + 8 + -6r + 6r Combine like terms: -8 + 8 = 0 8 + 6r + r2 = 0 + -6r + 6r 8 + 6r + r2 = -6r + 6r Combine like terms: -6r + 6r = 0 8 + 6r + r2 = 0 Factor a trinomial. (4 + r)(2 + r) = 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 '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2Solution
r = {-4, -2}
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