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Simplifying 4y2 + 20yx + -4y3x = 0 Reorder the terms: 20xy + -4xy3 + 4y2 = 0 Solving 20xy + -4xy3 + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 20xy + -4xy3 + 4y2 + -4y2 = 0 + -4y2 Combine like terms: 4y2 + -4y2 = 0 20xy + -4xy3 + 0 = 0 + -4y2 20xy + -4xy3 = 0 + -4y2 Remove the zero: 20xy + -4xy3 = -4y2 Combine like terms: -4y2 + 4y2 = 0 20xy + -4xy3 + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(5x + -1xy2 + y) = 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 '(5x + -1xy2 + y)' equal to zero and attempt to solve: Simplifying 5x + -1xy2 + y = 0 Solving 5x + -1xy2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 5x + -1xy2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 5x + -1xy2 + 0 = 0 + -1y 5x + -1xy2 = 0 + -1y Remove the zero: 5x + -1xy2 = -1y 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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