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Simplifying (2 + x)(x + -4) = 0 Reorder the terms: (2 + x)(-4 + x) = 0 Multiply (2 + x) * (-4 + x) (2(-4 + x) + x(-4 + x)) = 0 ((-4 * 2 + x * 2) + x(-4 + x)) = 0 ((-8 + 2x) + x(-4 + x)) = 0 (-8 + 2x + (-4 * x + x * x)) = 0 (-8 + 2x + (-4x + x2)) = 0 Combine like terms: 2x + -4x = -2x (-8 + -2x + x2) = 0 Solving -8 + -2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(4 + -1x) = 0Subproblem 1
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 = -2Subproblem 2
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 = 4Solution
x = {-2, 4}
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