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Simplifying x(x + -4) + -2(x + -4) = 0 Reorder the terms: x(-4 + x) + -2(x + -4) = 0 (-4 * x + x * x) + -2(x + -4) = 0 (-4x + x2) + -2(x + -4) = 0 Reorder the terms: -4x + x2 + -2(-4 + x) = 0 -4x + x2 + (-4 * -2 + x * -2) = 0 -4x + x2 + (8 + -2x) = 0 Reorder the terms: 8 + -4x + -2x + x2 = 0 Combine like terms: -4x + -2x = -6x 8 + -6x + x2 = 0 Solving 8 + -6x + 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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