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