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Simplifying (2xy + x + -1y)(-3y2) = 0 Reorder the terms: (x + 2xy + -1y)(-3y2) = 0 Remove parenthesis around (-3y2) (x + 2xy + -1y) * -3y2 = 0 Reorder the terms for easier multiplication: -3y2(x + 2xy + -1y) = 0 (x * -3y2 + 2xy * -3y2 + -1y * -3y2) = 0 (-3xy2 + -6xy3 + 3y3) = 0 Solving -3xy2 + -6xy3 + 3y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y3' to each side of the equation. -3xy2 + -6xy3 + 3y3 + -3y3 = 0 + -3y3 Combine like terms: 3y3 + -3y3 = 0 -3xy2 + -6xy3 + 0 = 0 + -3y3 -3xy2 + -6xy3 = 0 + -3y3 Remove the zero: -3xy2 + -6xy3 = -3y3 Combine like terms: -3y3 + 3y3 = 0 -3xy2 + -6xy3 + 3y3 = 0 Factor out the Greatest Common Factor (GCF), '3y2'. 3y2(-1x + -2xy + y) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 '(-1x + -2xy + y)' equal to zero and attempt to solve: Simplifying -1x + -2xy + y = 0 Solving -1x + -2xy + 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 + -2xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -1x + -2xy + 0 = 0 + -1y -1x + -2xy = 0 + -1y Remove the zero: -1x + -2xy = -1y 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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