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Simplifying 3xy(x2y + -1xy2 + 4xy) = 0 Reorder the terms: 3xy(4xy + -1xy2 + x2y) = 0 (4xy * 3xy + -1xy2 * 3xy + x2y * 3xy) = 0 (12x2y2 + -3x2y3 + 3x3y2) = 0 Solving 12x2y2 + -3x2y3 + 3x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2y2'. 3x2y2(4 + -1y + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(4 + -1y + x)' equal to zero and attempt to solve: Simplifying 4 + -1y + x = 0 Reorder the terms: 4 + x + -1y = 0 Solving 4 + x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + x + -4 + -1y = 0 + -4 Reorder the terms: 4 + -4 + x + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x + -1y = 0 + -4 x + -1y = 0 + -4 Combine like terms: 0 + -4 = -4 x + -1y = -4 Add 'y' to each side of the equation. x + -1y + y = -4 + y Combine like terms: -1y + y = 0 x + 0 = -4 + y x = -4 + y Simplifying x = -4 + ySolution
x = {-4 + y}
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