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Simplifying (2x + 12)(x + -1) = 0 Reorder the terms: (12 + 2x)(x + -1) = 0 Reorder the terms: (12 + 2x)(-1 + x) = 0 Multiply (12 + 2x) * (-1 + x) (12(-1 + x) + 2x * (-1 + x)) = 0 ((-1 * 12 + x * 12) + 2x * (-1 + x)) = 0 ((-12 + 12x) + 2x * (-1 + x)) = 0 (-12 + 12x + (-1 * 2x + x * 2x)) = 0 (-12 + 12x + (-2x + 2x2)) = 0 Combine like terms: 12x + -2x = 10x (-12 + 10x + 2x2) = 0 Solving -12 + 10x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 5x + x2) = 0 Factor a trinomial. 2((-6 + -1x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 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 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-6, 1}
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