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Simplifying (x + 2)(x + -14) = 0 Reorder the terms: (2 + x)(x + -14) = 0 Reorder the terms: (2 + x)(-14 + x) = 0 Multiply (2 + x) * (-14 + x) (2(-14 + x) + x(-14 + x)) = 0 ((-14 * 2 + x * 2) + x(-14 + x)) = 0 ((-28 + 2x) + x(-14 + x)) = 0 (-28 + 2x + (-14 * x + x * x)) = 0 (-28 + 2x + (-14x + x2)) = 0 Combine like terms: 2x + -14x = -12x (-28 + -12x + x2) = 0 Solving -28 + -12x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 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 = {-2, 14}
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