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Simplifying (x + 8)(x + -4) = 0 Reorder the terms: (8 + x)(x + -4) = 0 Reorder the terms: (8 + x)(-4 + x) = 0 Multiply (8 + x) * (-4 + x) (8(-4 + x) + x(-4 + x)) = 0 ((-4 * 8 + x * 8) + x(-4 + x)) = 0 ((-32 + 8x) + x(-4 + x)) = 0 (-32 + 8x + (-4 * x + x * x)) = 0 (-32 + 8x + (-4x + x2)) = 0 Combine like terms: 8x + -4x = 4x (-32 + 4x + x2) = 0 Solving -32 + 4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(4 + -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 '(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 = 4Solution
x = {-8, 4}
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