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Simplifying (2x + -3y + 2)(-1xy) = 0 Reorder the terms: (2 + 2x + -3y)(-1xy) = 0 Remove parenthesis around (-1xy) (2 + 2x + -3y) * -1xy = 0 Reorder the terms for easier multiplication: -1xy(2 + 2x + -3y) = 0 (2 * -1xy + 2x * -1xy + -3y * -1xy) = 0 Reorder the terms: (-2xy + 3xy2 + -2x2y) = 0 (-2xy + 3xy2 + -2x2y) = 0 Solving -2xy + 3xy2 + -2x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-2 + 3y + -2x) = 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 '(-2 + 3y + -2x)' equal to zero and attempt to solve: Simplifying -2 + 3y + -2x = 0 Reorder the terms: -2 + -2x + 3y = 0 Solving -2 + -2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -2x + 2 + 3y = 0 + 2 Reorder the terms: -2 + 2 + -2x + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2x + 3y = 0 + 2 -2x + 3y = 0 + 2 Combine like terms: 0 + 2 = 2 -2x + 3y = 2 Add '-3y' to each side of the equation. -2x + 3y + -3y = 2 + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = 2 + -3y -2x = 2 + -3y Divide each side by '-2'. x = -1 + 1.5y Simplifying x = -1 + 1.5ySolution
x = {-1 + 1.5y}
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