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Simplifying X2y + 3xy + xy2 = 0 Reorder the terms: 3xy + xy2 + yX2 = 0 Solving 3xy + xy2 + yX2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1yX2' to each side of the equation. 3xy + xy2 + yX2 + -1yX2 = 0 + -1yX2 Combine like terms: yX2 + -1yX2 = 0 3xy + xy2 + 0 = 0 + -1yX2 3xy + xy2 = 0 + -1yX2 Remove the zero: 3xy + xy2 = -1yX2 Combine like terms: -1yX2 + yX2 = 0 3xy + xy2 + yX2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(3x + xy + X2) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(3x + xy + X2)' equal to zero and attempt to solve: Simplifying 3x + xy + X2 = 0 Reorder the terms: X2 + 3x + xy = 0 Solving X2 + 3x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-1X2' to each side of the equation. X2 + 3x + -1X2 + xy = 0 + -1X2 Reorder the terms: X2 + -1X2 + 3x + xy = 0 + -1X2 Combine like terms: X2 + -1X2 = 0 0 + 3x + xy = 0 + -1X2 3x + xy = 0 + -1X2 Remove the zero: 3x + xy = -1X2 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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