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Simplifying 6x3y3 + 12x3y + 3x2y4 = 0 Reorder the terms: 3x2y4 + 12x3y + 6x3y3 = 0 Solving 3x2y4 + 12x3y + 6x3y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2y'. 3x2y(y3 + 4x + 2xy2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 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 '(y3 + 4x + 2xy2)' equal to zero and attempt to solve: Simplifying y3 + 4x + 2xy2 = 0 Reorder the terms: 4x + 2xy2 + y3 = 0 Solving 4x + 2xy2 + y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y3' to each side of the equation. 4x + 2xy2 + y3 + -1y3 = 0 + -1y3 Combine like terms: y3 + -1y3 = 0 4x + 2xy2 + 0 = 0 + -1y3 4x + 2xy2 = 0 + -1y3 Remove the zero: 4x + 2xy2 = -1y3 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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