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Simplifying r2 = -6 + -5r Solving r2 = -6 + -5r Solving for variable 'r'. Reorder the terms: 6 + 5r + r2 = -6 + -5r + 6 + 5r Reorder the terms: 6 + 5r + r2 = -6 + 6 + -5r + 5r Combine like terms: -6 + 6 = 0 6 + 5r + r2 = 0 + -5r + 5r 6 + 5r + r2 = -5r + 5r Combine like terms: -5r + 5r = 0 6 + 5r + r2 = 0 Factor a trinomial. (3 + r)(2 + r) = 0Subproblem 1
Set the factor '(3 + r)' equal to zero and attempt to solve: Simplifying 3 + r = 0 Solving 3 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r = 0 + -3 r = 0 + -3 Combine like terms: 0 + -3 = -3 r = -3 Simplifying r = -3Subproblem 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 = {-3, -2}
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