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Simplifying 3xy(2x + -1y + -1) = 0 Reorder the terms: 3xy(-1 + 2x + -1y) = 0 (-1 * 3xy + 2x * 3xy + -1y * 3xy) = 0 Reorder the terms: (-3xy + -3xy2 + 6x2y) = 0 (-3xy + -3xy2 + 6x2y) = 0 Solving -3xy + -3xy2 + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(-1 + -1y + 2x) = 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 '(-1 + -1y + 2x)' equal to zero and attempt to solve: Simplifying -1 + -1y + 2x = 0 Reorder the terms: -1 + 2x + -1y = 0 Solving -1 + 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2x + 1 + -1y = 0 + 1 Reorder the terms: -1 + 1 + 2x + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + -1y = 0 + 1 2x + -1y = 0 + 1 Combine like terms: 0 + 1 = 1 2x + -1y = 1 Add 'y' to each side of the equation. 2x + -1y + y = 1 + y Combine like terms: -1y + y = 0 2x + 0 = 1 + y 2x = 1 + y Divide each side by '2'. x = 0.5 + 0.5y Simplifying x = 0.5 + 0.5ySolution
x = {0.5 + 0.5y}
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