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Simplifying 3(2 + -1x)(x + -4) = 0 Reorder the terms: 3(2 + -1x)(-4 + x) = 0 Multiply (2 + -1x) * (-4 + x) 3(2(-4 + x) + -1x * (-4 + x)) = 0 3((-4 * 2 + x * 2) + -1x * (-4 + x)) = 0 3((-8 + 2x) + -1x * (-4 + x)) = 0 3(-8 + 2x + (-4 * -1x + x * -1x)) = 0 3(-8 + 2x + (4x + -1x2)) = 0 Combine like terms: 2x + 4x = 6x 3(-8 + 6x + -1x2) = 0 (-8 * 3 + 6x * 3 + -1x2 * 3) = 0 (-24 + 18x + -3x2) = 0 Solving -24 + 18x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + 6x + -1x2) = 0 Factor a trinomial. 3((-4 + x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 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 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 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 = {4, 2}
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