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Simplifying 2xy(3x + -1y + 3) = 0 Reorder the terms: 2xy(3 + 3x + -1y) = 0 (3 * 2xy + 3x * 2xy + -1y * 2xy) = 0 Reorder the terms: (6xy + -2xy2 + 6x2y) = 0 (6xy + -2xy2 + 6x2y) = 0 Solving 6xy + -2xy2 + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(3 + -1y + 3x) = 0 Ignore the factor 2.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 '(3 + -1y + 3x)' equal to zero and attempt to solve: Simplifying 3 + -1y + 3x = 0 Reorder the terms: 3 + 3x + -1y = 0 Solving 3 + 3x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3x + -3 + -1y = 0 + -3 Reorder the terms: 3 + -3 + 3x + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3x + -1y = 0 + -3 3x + -1y = 0 + -3 Combine like terms: 0 + -3 = -3 3x + -1y = -3 Add 'y' to each side of the equation. 3x + -1y + y = -3 + y Combine like terms: -1y + y = 0 3x + 0 = -3 + y 3x = -3 + y Divide each side by '3'. x = -1 + 0.3333333333y Simplifying x = -1 + 0.3333333333ySolution
x = {-1 + 0.3333333333y}
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