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Simplifying (3x + -1)(x + -2) = -43x + -106 Reorder the terms: (-1 + 3x)(x + -2) = -43x + -106 Reorder the terms: (-1 + 3x)(-2 + x) = -43x + -106 Multiply (-1 + 3x) * (-2 + x) (-1(-2 + x) + 3x * (-2 + x)) = -43x + -106 ((-2 * -1 + x * -1) + 3x * (-2 + x)) = -43x + -106 ((2 + -1x) + 3x * (-2 + x)) = -43x + -106 (2 + -1x + (-2 * 3x + x * 3x)) = -43x + -106 (2 + -1x + (-6x + 3x2)) = -43x + -106 Combine like terms: -1x + -6x = -7x (2 + -7x + 3x2) = -43x + -106 Reorder the terms: 2 + -7x + 3x2 = -106 + -43x Solving 2 + -7x + 3x2 = -106 + -43x Solving for variable 'x'. Reorder the terms: 2 + 106 + -7x + 43x + 3x2 = -106 + -43x + 106 + 43x Combine like terms: 2 + 106 = 108 108 + -7x + 43x + 3x2 = -106 + -43x + 106 + 43x Combine like terms: -7x + 43x = 36x 108 + 36x + 3x2 = -106 + -43x + 106 + 43x Reorder the terms: 108 + 36x + 3x2 = -106 + 106 + -43x + 43x Combine like terms: -106 + 106 = 0 108 + 36x + 3x2 = 0 + -43x + 43x 108 + 36x + 3x2 = -43x + 43x Combine like terms: -43x + 43x = 0 108 + 36x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(36 + 12x + x2) = 0 Factor a trinomial. 3((6 + x)(6 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-6, -6}
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