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Simplifying (x + -2)(x + 4) = 432 Reorder the terms: (-2 + x)(x + 4) = 432 Reorder the terms: (-2 + x)(4 + x) = 432 Multiply (-2 + x) * (4 + x) (-2(4 + x) + x(4 + x)) = 432 ((4 * -2 + x * -2) + x(4 + x)) = 432 ((-8 + -2x) + x(4 + x)) = 432 (-8 + -2x + (4 * x + x * x)) = 432 (-8 + -2x + (4x + x2)) = 432 Combine like terms: -2x + 4x = 2x (-8 + 2x + x2) = 432 Solving -8 + 2x + x2 = 432 Solving for variable 'x'. Reorder the terms: -8 + -432 + 2x + x2 = 432 + -432 Combine like terms: -8 + -432 = -440 -440 + 2x + x2 = 432 + -432 Combine like terms: 432 + -432 = 0 -440 + 2x + x2 = 0 Factor a trinomial. (-22 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve: Simplifying -22 + -1x = 0 Solving -22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 0 + 22 -1x = 0 + 22 Combine like terms: 0 + 22 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-22, 20}
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