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Simplifying 2xy + -4x + 8y + -16 = 0 Reorder the terms: -16 + -4x + 2xy + 8y = 0 Solving -16 + -4x + 2xy + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -4x + 2xy + 16 + 8y = 0 + 16 Reorder the terms: -16 + 16 + -4x + 2xy + 8y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -4x + 2xy + 8y = 0 + 16 -4x + 2xy + 8y = 0 + 16 Combine like terms: 0 + 16 = 16 -4x + 2xy + 8y = 16 Add '-8y' to each side of the equation. -4x + 2xy + 8y + -8y = 16 + -8y Combine like terms: 8y + -8y = 0 -4x + 2xy + 0 = 16 + -8y -4x + 2xy = 16 + -8y Reorder the terms: -16 + -4x + 2xy + 8y = 16 + -8y + -16 + 8y Reorder the terms: -16 + -4x + 2xy + 8y = 16 + -16 + -8y + 8y Combine like terms: 16 + -16 = 0 -16 + -4x + 2xy + 8y = 0 + -8y + 8y -16 + -4x + 2xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 -16 + -4x + 2xy + 8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -2x + xy + 4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -2x + xy + 4y)' equal to zero and attempt to solve: Simplifying -8 + -2x + xy + 4y = 0 Solving -8 + -2x + xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2x + xy + 8 + 4y = 0 + 8 Reorder the terms: -8 + 8 + -2x + xy + 4y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2x + xy + 4y = 0 + 8 -2x + xy + 4y = 0 + 8 Combine like terms: 0 + 8 = 8 -2x + xy + 4y = 8 Add '-4y' to each side of the equation. -2x + xy + 4y + -4y = 8 + -4y Combine like terms: 4y + -4y = 0 -2x + xy + 0 = 8 + -4y -2x + xy = 8 + -4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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