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Simplifying 10x5y + -40xy3 = 0 Reorder the terms: -40xy3 + 10x5y = 0 Solving -40xy3 + 10x5y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10xy'. 10xy(-4y2 + x4) = 0 Factor a difference between two squares. 10xy((2y + x2)(-2y + x2)) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(2y + x2)' equal to zero and attempt to solve: Simplifying 2y + x2 = 0 Reorder the terms: x2 + 2y = 0 Solving x2 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x2 + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x2 + 0 = 0 + -2y x2 = 0 + -2y Remove the zero: x2 = -2y Simplifying x2 = -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2y + x2)' equal to zero and attempt to solve: Simplifying -2y + x2 = 0 Reorder the terms: x2 + -2y = 0 Solving x2 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x2 + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x2 + 0 = 0 + 2y x2 = 0 + 2y Remove the zero: x2 = 2y Simplifying x2 = 2y 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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