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Simplifying 5xy + -5xy = 5xy(x + -1y) Combine like terms: 5xy + -5xy = 0 0 = 5xy(x + -1y) 0 = (x * 5xy + -1y * 5xy) Reorder the terms: 0 = (-5xy2 + 5x2y) 0 = (-5xy2 + 5x2y) Solving 0 = -5xy2 + 5x2y Solving for variable 'x'. Remove the zero: 5xy2 + -5x2y = -5xy2 + 5x2y + 5xy2 + -5x2y Reorder the terms: 5xy2 + -5x2y = -5xy2 + 5xy2 + 5x2y + -5x2y Combine like terms: -5xy2 + 5xy2 = 0 5xy2 + -5x2y = 0 + 5x2y + -5x2y 5xy2 + -5x2y = 5x2y + -5x2y Combine like terms: 5x2y + -5x2y = 0 5xy2 + -5x2y = 0 Factor out the Greatest Common Factor (GCF), '5xy'. 5xy(y + -1x) = 0 Ignore the factor 5.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 '(y + -1x)' equal to zero and attempt to solve: Simplifying y + -1x = 0 Reorder the terms: -1x + y = 0 Solving -1x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -1x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -1x + 0 = 0 + -1y -1x = 0 + -1y Remove the zero: -1x = -1y Divide each side by '-1'. x = y Simplifying x = ySolution
x = {y}
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