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Simplifying (x + -14)(x + -8) = 0 Reorder the terms: (-14 + x)(x + -8) = 0 Reorder the terms: (-14 + x)(-8 + x) = 0 Multiply (-14 + x) * (-8 + x) (-14(-8 + x) + x(-8 + x)) = 0 ((-8 * -14 + x * -14) + x(-8 + x)) = 0 ((112 + -14x) + x(-8 + x)) = 0 (112 + -14x + (-8 * x + x * x)) = 0 (112 + -14x + (-8x + x2)) = 0 Combine like terms: -14x + -8x = -22x (112 + -22x + x2) = 0 Solving 112 + -22x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x)(14 + -1x) = 0Subproblem 1
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 = 8Subproblem 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 = {8, 14}
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