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Simplifying x(x + -6) = 2(x + -8) Reorder the terms: x(-6 + x) = 2(x + -8) (-6 * x + x * x) = 2(x + -8) (-6x + x2) = 2(x + -8) Reorder the terms: -6x + x2 = 2(-8 + x) -6x + x2 = (-8 * 2 + x * 2) -6x + x2 = (-16 + 2x) Solving -6x + x2 = -16 + 2x Solving for variable 'x'. Reorder the terms: 16 + -6x + -2x + x2 = -16 + 2x + 16 + -2x Combine like terms: -6x + -2x = -8x 16 + -8x + x2 = -16 + 2x + 16 + -2x Reorder the terms: 16 + -8x + x2 = -16 + 16 + 2x + -2x Combine like terms: -16 + 16 = 0 16 + -8x + x2 = 0 + 2x + -2x 16 + -8x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 16 + -8x + x2 = 0 Factor a trinomial. (4 + -1x)(4 + -1x) = 0Subproblem 1
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 = 4Subproblem 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 = {4, 4}
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