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Simplifying 3x2 + 2x + 12 = -13x Reorder the terms: 12 + 2x + 3x2 = -13x Solving 12 + 2x + 3x2 = -13x Solving for variable 'x'. Reorder the terms: 12 + 2x + 13x + 3x2 = -13x + 13x Combine like terms: 2x + 13x = 15x 12 + 15x + 3x2 = -13x + 13x Combine like terms: -13x + 13x = 0 12 + 15x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 5x + x2) = 0 Factor a trinomial. 3((4 + x)(1 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-4, -1}
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