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Simplifying 8 + 4x + 2y = 8x + 2xy Solving 8 + 4x + 2y = 8x + 2xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 4x + -8x + 2y = 8x + -8x + 2xy Combine like terms: 4x + -8x = -4x 8 + -4x + 2y = 8x + -8x + 2xy Combine like terms: 8x + -8x = 0 8 + -4x + 2y = 0 + 2xy 8 + -4x + 2y = 2xy Add '-2xy' to each side of the equation. 8 + -4x + -2xy + 2y = 2xy + -2xy Combine like terms: 2xy + -2xy = 0 8 + -4x + -2xy + 2y = 0 Add '-8' to each side of the equation. 8 + -4x + -2xy + -8 + 2y = 0 + -8 Reorder the terms: 8 + -8 + -4x + -2xy + 2y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4x + -2xy + 2y = 0 + -8 -4x + -2xy + 2y = 0 + -8 Combine like terms: 0 + -8 = -8 -4x + -2xy + 2y = -8 Add '-2y' to each side of the equation. -4x + -2xy + 2y + -2y = -8 + -2y Combine like terms: 2y + -2y = 0 -4x + -2xy + 0 = -8 + -2y -4x + -2xy = -8 + -2y Reorder the terms: 8 + -4x + -2xy + 2y = -8 + -2y + 8 + 2y Reorder the terms: 8 + -4x + -2xy + 2y = -8 + 8 + -2y + 2y Combine like terms: -8 + 8 = 0 8 + -4x + -2xy + 2y = 0 + -2y + 2y 8 + -4x + -2xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 8 + -4x + -2xy + 2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -2x + -1xy + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -2x + -1xy + y)' equal to zero and attempt to solve: Simplifying 4 + -2x + -1xy + y = 0 Solving 4 + -2x + -1xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2x + -1xy + -4 + y = 0 + -4 Reorder the terms: 4 + -4 + -2x + -1xy + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x + -1xy + y = 0 + -4 -2x + -1xy + y = 0 + -4 Combine like terms: 0 + -4 = -4 -2x + -1xy + y = -4 Add '-1y' to each side of the equation. -2x + -1xy + y + -1y = -4 + -1y Combine like terms: y + -1y = 0 -2x + -1xy + 0 = -4 + -1y -2x + -1xy = -4 + -1y 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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