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Simplifying (x + 6)(2x + -14) = 0 Reorder the terms: (6 + x)(2x + -14) = 0 Reorder the terms: (6 + x)(-14 + 2x) = 0 Multiply (6 + x) * (-14 + 2x) (6(-14 + 2x) + x(-14 + 2x)) = 0 ((-14 * 6 + 2x * 6) + x(-14 + 2x)) = 0 ((-84 + 12x) + x(-14 + 2x)) = 0 (-84 + 12x + (-14 * x + 2x * x)) = 0 (-84 + 12x + (-14x + 2x2)) = 0 Combine like terms: 12x + -14x = -2x (-84 + -2x + 2x2) = 0 Solving -84 + -2x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-42 + -1x + x2) = 0 Factor a trinomial. 2((-6 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-6, 7}
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