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Simplifying (-1x + 3)(4x + -8) = 0 Reorder the terms: (3 + -1x)(4x + -8) = 0 Reorder the terms: (3 + -1x)(-8 + 4x) = 0 Multiply (3 + -1x) * (-8 + 4x) (3(-8 + 4x) + -1x * (-8 + 4x)) = 0 ((-8 * 3 + 4x * 3) + -1x * (-8 + 4x)) = 0 ((-24 + 12x) + -1x * (-8 + 4x)) = 0 (-24 + 12x + (-8 * -1x + 4x * -1x)) = 0 (-24 + 12x + (8x + -4x2)) = 0 Combine like terms: 12x + 8x = 20x (-24 + 20x + -4x2) = 0 Solving -24 + 20x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + 5x + -1x2) = 0 Factor a trinomial. 4((-3 + x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {3, 2}
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