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Simplifying (3x + 2)(-1x + -12) = 0 Reorder the terms: (2 + 3x)(-1x + -12) = 0 Reorder the terms: (2 + 3x)(-12 + -1x) = 0 Multiply (2 + 3x) * (-12 + -1x) (2(-12 + -1x) + 3x * (-12 + -1x)) = 0 ((-12 * 2 + -1x * 2) + 3x * (-12 + -1x)) = 0 ((-24 + -2x) + 3x * (-12 + -1x)) = 0 (-24 + -2x + (-12 * 3x + -1x * 3x)) = 0 (-24 + -2x + (-36x + -3x2)) = 0 Combine like terms: -2x + -36x = -38x (-24 + -38x + -3x2) = 0 Solving -24 + -38x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(24 + 38x + 3x2) = 0 Factor a trinomial. -1((12 + x)(2 + 3x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-12, -0.6666666667}
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