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Simplifying 2x(x + -6) = 14 Reorder the terms: 2x(-6 + x) = 14 (-6 * 2x + x * 2x) = 14 (-12x + 2x2) = 14 Solving -12x + 2x2 = 14 Solving for variable 'x'. Reorder the terms: -14 + -12x + 2x2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -12x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -6x + x2) = 0 Factor a trinomial. 2((-1 + -1x)(7 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -1Subproblem 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 = {-1, 7}
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