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Simplifying 4x4y + 20x2y2 + 12x2y3 = 0 Reorder the terms: 20x2y2 + 12x2y3 + 4x4y = 0 Solving 20x2y2 + 12x2y3 + 4x4y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2y'. 4x2y(5y + 3y2 + x2) = 0 Ignore the factor 4.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 '(5y + 3y2 + x2)' equal to zero and attempt to solve: Simplifying 5y + 3y2 + x2 = 0 Reorder the terms: x2 + 5y + 3y2 = 0 Solving x2 + 5y + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x2 + 5y + -5y + 3y2 = 0 + -5y Combine like terms: 5y + -5y = 0 x2 + 0 + 3y2 = 0 + -5y x2 + 3y2 = 0 + -5y Remove the zero: x2 + 3y2 = -5y Add '-3y2' to each side of the equation. x2 + 3y2 + -3y2 = -5y + -3y2 Combine like terms: 3y2 + -3y2 = 0 x2 + 0 = -5y + -3y2 x2 = -5y + -3y2 Simplifying x2 = -5y + -3y2 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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