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Simplifying 0 = 4y3 + 4yx2 + 16xy Reorder the terms: 0 = 16xy + 4x2y + 4y3 Solving 0 = 16xy + 4x2y + 4y3 Solving for variable 'x'. Remove the zero: -16xy + -4x2y + -4y3 = 16xy + 4x2y + 4y3 + -16xy + -4x2y + -4y3 Reorder the terms: -16xy + -4x2y + -4y3 = 16xy + -16xy + 4x2y + -4x2y + 4y3 + -4y3 Combine like terms: 16xy + -16xy = 0 -16xy + -4x2y + -4y3 = 0 + 4x2y + -4x2y + 4y3 + -4y3 -16xy + -4x2y + -4y3 = 4x2y + -4x2y + 4y3 + -4y3 Combine like terms: 4x2y + -4x2y = 0 -16xy + -4x2y + -4y3 = 0 + 4y3 + -4y3 -16xy + -4x2y + -4y3 = 4y3 + -4y3 Combine like terms: 4y3 + -4y3 = 0 -16xy + -4x2y + -4y3 = 0 Factor out the Greatest Common Factor (GCF), '-4y'. -4y(4x + x2 + y2) = 0 Ignore the factor -4.Subproblem 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 '(4x + x2 + y2)' equal to zero and attempt to solve: Simplifying 4x + x2 + y2 = 0 Solving 4x + x2 + y2 = 0 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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