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Simplifying 6r2 + 18r = -12 Reorder the terms: 18r + 6r2 = -12 Solving 18r + 6r2 = -12 Solving for variable 'r'. Reorder the terms: 12 + 18r + 6r2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 18r + 6r2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(2 + 3r + r2) = 0 Factor a trinomial. 6((2 + r)(1 + r)) = 0 Ignore the factor 6.Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + r)' equal to zero and attempt to solve: Simplifying 1 + r = 0 Solving 1 + r = 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 + r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r = 0 + -1 r = 0 + -1 Combine like terms: 0 + -1 = -1 r = -1 Simplifying r = -1Solution
r = {-2, -1}
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