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Simplifying x5y3 + -1x3y5 = 0 Reorder the terms: -1x3y5 + x5y3 = 0 Solving -1x3y5 + x5y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3y3'. x3y3(-1y2 + x2) = 0 Factor a difference between two squares. x3y3((y + x)(-1y + x)) = 0Subproblem 1
Set the factor 'x3y3' equal to zero and attempt to solve: Simplifying x3y3 = 0 Solving x3y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y3 = 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 '(y + x)' equal to zero and attempt to solve: Simplifying y + x = 0 Reorder the terms: x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySubproblem 3
Set the factor '(-1y + x)' equal to zero and attempt to solve: Simplifying -1y + x = 0 Reorder the terms: x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySolution
x = {-1y, y}
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