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Simplifying 2x = x2 + -4x + 8 Reorder the terms: 2x = 8 + -4x + x2 Solving 2x = 8 + -4x + x2 Solving for variable 'x'. Reorder the terms: -8 + 2x + 4x + -1x2 = 8 + -4x + x2 + -8 + 4x + -1x2 Combine like terms: 2x + 4x = 6x -8 + 6x + -1x2 = 8 + -4x + x2 + -8 + 4x + -1x2 Reorder the terms: -8 + 6x + -1x2 = 8 + -8 + -4x + 4x + x2 + -1x2 Combine like terms: 8 + -8 = 0 -8 + 6x + -1x2 = 0 + -4x + 4x + x2 + -1x2 -8 + 6x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 -8 + 6x + -1x2 = 0 + x2 + -1x2 -8 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + 6x + -1x2 = 0 Factor a trinomial. (-4 + x)(2 + -1x) = 0Subproblem 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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