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Simplifying (x + -8)(x + 5) = 14 Reorder the terms: (-8 + x)(x + 5) = 14 Reorder the terms: (-8 + x)(5 + x) = 14 Multiply (-8 + x) * (5 + x) (-8(5 + x) + x(5 + x)) = 14 ((5 * -8 + x * -8) + x(5 + x)) = 14 ((-40 + -8x) + x(5 + x)) = 14 (-40 + -8x + (5 * x + x * x)) = 14 (-40 + -8x + (5x + x2)) = 14 Combine like terms: -8x + 5x = -3x (-40 + -3x + x2) = 14 Solving -40 + -3x + x2 = 14 Solving for variable 'x'. Reorder the terms: -40 + -14 + -3x + x2 = 14 + -14 Combine like terms: -40 + -14 = -54 -54 + -3x + x2 = 14 + -14 Combine like terms: 14 + -14 = 0 -54 + -3x + x2 = 0 Factor a trinomial. (-6 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 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 = {-6, 9}
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