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Simplifying 3r2 + 18r + 14 = -10 Reorder the terms: 14 + 18r + 3r2 = -10 Solving 14 + 18r + 3r2 = -10 Solving for variable 'r'. Reorder the terms: 14 + 10 + 18r + 3r2 = -10 + 10 Combine like terms: 14 + 10 = 24 24 + 18r + 3r2 = -10 + 10 Combine like terms: -10 + 10 = 0 24 + 18r + 3r2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(8 + 6r + r2) = 0 Factor a trinomial. 3((4 + r)(2 + r)) = 0 Ignore the factor 3.Subproblem 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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