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Simplifying -1(x + -4)(x + -8) = 0 Reorder the terms: -1(-4 + x)(x + -8) = 0 Reorder the terms: -1(-4 + x)(-8 + x) = 0 Multiply (-4 + x) * (-8 + x) -1(-4(-8 + x) + x(-8 + x)) = 0 -1((-8 * -4 + x * -4) + x(-8 + x)) = 0 -1((32 + -4x) + x(-8 + x)) = 0 -1(32 + -4x + (-8 * x + x * x)) = 0 -1(32 + -4x + (-8x + x2)) = 0 Combine like terms: -4x + -8x = -12x -1(32 + -12x + x2) = 0 (32 * -1 + -12x * -1 + x2 * -1) = 0 (-32 + 12x + -1x2) = 0 Solving -32 + 12x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + x)(4 + -1x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 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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