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