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Simplifying (x + 14)(x + -9) = 0 Reorder the terms: (14 + x)(x + -9) = 0 Reorder the terms: (14 + x)(-9 + x) = 0 Multiply (14 + x) * (-9 + x) (14(-9 + x) + x(-9 + x)) = 0 ((-9 * 14 + x * 14) + x(-9 + x)) = 0 ((-126 + 14x) + x(-9 + x)) = 0 (-126 + 14x + (-9 * x + x * x)) = 0 (-126 + 14x + (-9x + x2)) = 0 Combine like terms: 14x + -9x = 5x (-126 + 5x + x2) = 0 Solving -126 + 5x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-14, 9}
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