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Simplifying x3y + -100xy3 = 0 Reorder the terms: -100xy3 + x3y = 0 Solving -100xy3 + x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-100y2 + x2) = 0 Factor a difference between two squares. xy((10y + x)(-10y + x)) = 0Subproblem 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 '(10y + x)' equal to zero and attempt to solve: Simplifying 10y + x = 0 Reorder the terms: x + 10y = 0 Solving x + 10y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 x + 0 = 0 + -10y x = 0 + -10y Remove the zero: x = -10y Simplifying x = -10ySubproblem 3
Set the factor '(-10y + x)' equal to zero and attempt to solve: Simplifying -10y + x = 0 Reorder the terms: x + -10y = 0 Solving x + -10y = 0 Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 x + 0 = 0 + 10y x = 0 + 10y Remove the zero: x = 10y Simplifying x = 10ySolution
x = {-10y, 10y}
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