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Simplifying (x + -8)(x + 14) = 0 Reorder the terms: (-8 + x)(x + 14) = 0 Reorder the terms: (-8 + x)(14 + x) = 0 Multiply (-8 + x) * (14 + x) (-8(14 + x) + x(14 + x)) = 0 ((14 * -8 + x * -8) + x(14 + x)) = 0 ((-112 + -8x) + x(14 + x)) = 0 (-112 + -8x + (14 * x + x * x)) = 0 (-112 + -8x + (14x + x2)) = 0 Combine like terms: -8x + 14x = 6x (-112 + 6x + x2) = 0 Solving -112 + 6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + -1x)(8 + -1x) = 0Subproblem 1
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 = -14Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-14, 8}
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