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Simplifying (x + -14)(2x + -8) = 0 Reorder the terms: (-14 + x)(2x + -8) = 0 Reorder the terms: (-14 + x)(-8 + 2x) = 0 Multiply (-14 + x) * (-8 + 2x) (-14(-8 + 2x) + x(-8 + 2x)) = 0 ((-8 * -14 + 2x * -14) + x(-8 + 2x)) = 0 ((112 + -28x) + x(-8 + 2x)) = 0 (112 + -28x + (-8 * x + 2x * x)) = 0 (112 + -28x + (-8x + 2x2)) = 0 Combine like terms: -28x + -8x = -36x (112 + -36x + 2x2) = 0 Solving 112 + -36x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(56 + -18x + x2) = 0 Factor a trinomial. 2((4 + -1x)(14 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {4, 14}
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