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Simplifying (x + -1y)(-3xy) = 0 Remove parenthesis around (-3xy) (x + -1y) * -3xy = 0 Reorder the terms for easier multiplication: -3xy(x + -1y) = 0 (x * -3xy + -1y * -3xy) = 0 Reorder the terms: (3xy2 + -3x2y) = 0 (3xy2 + -3x2y) = 0 Solving 3xy2 + -3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(y + -1x) = 0 Ignore the factor 3.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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