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Simplifying -8x = x2 + 2xy Reorder the terms: -8x = 2xy + x2 Solving -8x = 2xy + x2 Solving for variable 'x'. Reorder the terms: -8x + -2xy + -1x2 = 2xy + -2xy + x2 + -1x2 Combine like terms: 2xy + -2xy = 0 -8x + -2xy + -1x2 = 0 + x2 + -1x2 -8x + -2xy + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8x + -2xy + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(8 + 2y + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(8 + 2y + x)' equal to zero and attempt to solve: Simplifying 8 + 2y + x = 0 Reorder the terms: 8 + x + 2y = 0 Solving 8 + x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + x + -8 + 2y = 0 + -8 Reorder the terms: 8 + -8 + x + 2y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x + 2y = 0 + -8 x + 2y = 0 + -8 Combine like terms: 0 + -8 = -8 x + 2y = -8 Add '-2y' to each side of the equation. x + 2y + -2y = -8 + -2y Combine like terms: 2y + -2y = 0 x + 0 = -8 + -2y x = -8 + -2y Simplifying x = -8 + -2ySolution
x = {0, -8 + -2y}
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