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Simplifying (xy + 2)(x2y2 + -2xy + 4) = 0 Reorder the terms: (2 + xy)(x2y2 + -2xy + 4) = 0 Reorder the terms: (2 + xy)(4 + -2xy + x2y2) = 0 Multiply (2 + xy) * (4 + -2xy + x2y2) (2(4 + -2xy + x2y2) + xy(4 + -2xy + x2y2)) = 0 ((4 * 2 + -2xy * 2 + x2y2 * 2) + xy(4 + -2xy + x2y2)) = 0 ((8 + -4xy + 2x2y2) + xy(4 + -2xy + x2y2)) = 0 (8 + -4xy + 2x2y2 + (4 * xy + -2xy * xy + x2y2 * xy)) = 0 (8 + -4xy + 2x2y2 + (4xy + -2x2y2 + x3y3)) = 0 Reorder the terms: (8 + -4xy + 4xy + 2x2y2 + -2x2y2 + x3y3) = 0 Combine like terms: -4xy + 4xy = 0 (8 + 0 + 2x2y2 + -2x2y2 + x3y3) = 0 (8 + 2x2y2 + -2x2y2 + x3y3) = 0 Combine like terms: 2x2y2 + -2x2y2 = 0 (8 + 0 + x3y3) = 0 (8 + x3y3) = 0 Solving 8 + x3y3 = 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 + -8 + x3y3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x3y3 = 0 + -8 x3y3 = 0 + -8 Combine like terms: 0 + -8 = -8 x3y3 = -8 Divide each side by 'y3'. x3 = -8y-3 Simplifying x3 = -8y-3 Combine like terms: -8y-3 + 8y-3 = 0 x3 + 8y-3 = 0 Factor out the Greatest Common Factor (GCF), 'y-3'. y-3(x3y3 + 8) = 0Subproblem 1
Set the factor 'y-3' equal to zero and attempt to solve: Simplifying y-3 = 0 Solving y-3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-3' to each side of the equation. y-3 + -1y-3 = 0 + -1y-3 Remove the zero: 0 = -1y-3 Simplifying 0 = -1y-3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(x3y3 + 8)' equal to zero and attempt to solve: Simplifying x3y3 + 8 = 0 Reorder the terms: 8 + x3y3 = 0 Solving 8 + x3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x3y3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x3y3 = 0 + -8 x3y3 = 0 + -8 Combine like terms: 0 + -8 = -8 x3y3 = -8 Divide each side by 'y3'. x3 = -8y-3 Simplifying x3 = -8y-3 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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