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Simplifying (x + 4)(x + -8) = 0 Reorder the terms: (4 + x)(x + -8) = 0 Reorder the terms: (4 + x)(-8 + x) = 0 Multiply (4 + x) * (-8 + x) (4(-8 + x) + x(-8 + x)) = 0 ((-8 * 4 + x * 4) + x(-8 + x)) = 0 ((-32 + 4x) + x(-8 + x)) = 0 (-32 + 4x + (-8 * x + x * x)) = 0 (-32 + 4x + (-8x + x2)) = 0 Combine like terms: 4x + -8x = -4x (-32 + -4x + x2) = 0 Solving -32 + -4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 8}
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