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Simplifying (-3x + -8)(-1x) = 16 Reorder the terms: (-8 + -3x)(-1x) = 16 Remove parenthesis around (-1x) (-8 + -3x) * -1x = 16 Reorder the terms for easier multiplication: -1x(-8 + -3x) = 16 (-8 * -1x + -3x * -1x) = 16 (8x + 3x2) = 16 Solving 8x + 3x2 = 16 Solving for variable 'x'. Reorder the terms: -16 + 8x + 3x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 8x + 3x2 = 0 Factor a trinomial. (-4 + -1x)(4 + -3x) = 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 '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-4, 1.333333333}
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