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Simplifying 4(x + 3)(-1x + -8) = 0 Reorder the terms: 4(3 + x)(-1x + -8) = 0 Reorder the terms: 4(3 + x)(-8 + -1x) = 0 Multiply (3 + x) * (-8 + -1x) 4(3(-8 + -1x) + x(-8 + -1x)) = 0 4((-8 * 3 + -1x * 3) + x(-8 + -1x)) = 0 4((-24 + -3x) + x(-8 + -1x)) = 0 4(-24 + -3x + (-8 * x + -1x * x)) = 0 4(-24 + -3x + (-8x + -1x2)) = 0 Combine like terms: -3x + -8x = -11x 4(-24 + -11x + -1x2) = 0 (-24 * 4 + -11x * 4 + -1x2 * 4) = 0 (-96 + -44x + -4x2) = 0 Solving -96 + -44x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4'. -4(24 + 11x + x2) = 0 Factor a trinomial. -4((8 + x)(3 + x)) = 0 Ignore the factor -4.Subproblem 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 '(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 = -3Solution
x = {-8, -3}
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