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Simplifying 3x2 + 42x + -147 = -186 Reorder the terms: -147 + 42x + 3x2 = -186 Solving -147 + 42x + 3x2 = -186 Solving for variable 'x'. Reorder the terms: -147 + 186 + 42x + 3x2 = -186 + 186 Combine like terms: -147 + 186 = 39 39 + 42x + 3x2 = -186 + 186 Combine like terms: -186 + 186 = 0 39 + 42x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(13 + 14x + x2) = 0 Factor a trinomial. 3((13 + x)(1 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Subproblem 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 = {-13, -1}
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