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Simplifying 2xy2 + 8xy + -2y2 + 8x + -8y + -8 = 0 Reorder the terms: -8 + 8x + 8xy + 2xy2 + -8y + -2y2 = 0 Solving -8 + 8x + 8xy + 2xy2 + -8y + -2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8x + 8xy + 2xy2 + -8y + 8 + -2y2 = 0 + 8 Reorder the terms: -8 + 8 + 8x + 8xy + 2xy2 + -8y + -2y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8x + 8xy + 2xy2 + -8y + -2y2 = 0 + 8 8x + 8xy + 2xy2 + -8y + -2y2 = 0 + 8 Combine like terms: 0 + 8 = 8 8x + 8xy + 2xy2 + -8y + -2y2 = 8 Add '8y' to each side of the equation. 8x + 8xy + 2xy2 + -8y + 8y + -2y2 = 8 + 8y Combine like terms: -8y + 8y = 0 8x + 8xy + 2xy2 + 0 + -2y2 = 8 + 8y 8x + 8xy + 2xy2 + -2y2 = 8 + 8y Add '2y2' to each side of the equation. 8x + 8xy + 2xy2 + -2y2 + 2y2 = 8 + 8y + 2y2 Combine like terms: -2y2 + 2y2 = 0 8x + 8xy + 2xy2 + 0 = 8 + 8y + 2y2 8x + 8xy + 2xy2 = 8 + 8y + 2y2 Reorder the terms: -8 + 8x + 8xy + 2xy2 + -8y + -2y2 = 8 + 8y + 2y2 + -8 + -8y + -2y2 Reorder the terms: -8 + 8x + 8xy + 2xy2 + -8y + -2y2 = 8 + -8 + 8y + -8y + 2y2 + -2y2 Combine like terms: 8 + -8 = 0 -8 + 8x + 8xy + 2xy2 + -8y + -2y2 = 0 + 8y + -8y + 2y2 + -2y2 -8 + 8x + 8xy + 2xy2 + -8y + -2y2 = 8y + -8y + 2y2 + -2y2 Combine like terms: 8y + -8y = 0 -8 + 8x + 8xy + 2xy2 + -8y + -2y2 = 0 + 2y2 + -2y2 -8 + 8x + 8xy + 2xy2 + -8y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -8 + 8x + 8xy + 2xy2 + -8y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 4x + 4xy + xy2 + -4y + -1y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 4x + 4xy + xy2 + -4y + -1y2)' equal to zero and attempt to solve: Simplifying -4 + 4x + 4xy + xy2 + -4y + -1y2 = 0 Solving -4 + 4x + 4xy + xy2 + -4y + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4x + 4xy + xy2 + -4y + 4 + -1y2 = 0 + 4 Reorder the terms: -4 + 4 + 4x + 4xy + xy2 + -4y + -1y2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4x + 4xy + xy2 + -4y + -1y2 = 0 + 4 4x + 4xy + xy2 + -4y + -1y2 = 0 + 4 Combine like terms: 0 + 4 = 4 4x + 4xy + xy2 + -4y + -1y2 = 4 Add '4y' to each side of the equation. 4x + 4xy + xy2 + -4y + 4y + -1y2 = 4 + 4y Combine like terms: -4y + 4y = 0 4x + 4xy + xy2 + 0 + -1y2 = 4 + 4y 4x + 4xy + xy2 + -1y2 = 4 + 4y Add 'y2' to each side of the equation. 4x + 4xy + xy2 + -1y2 + y2 = 4 + 4y + y2 Combine like terms: -1y2 + y2 = 0 4x + 4xy + xy2 + 0 = 4 + 4y + y2 4x + 4xy + xy2 = 4 + 4y + y2 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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