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Simplifying 3x(2x + -4xy + -1y + 2) = 0 Reorder the terms: 3x(2 + 2x + -4xy + -1y) = 0 (2 * 3x + 2x * 3x + -4xy * 3x + -1y * 3x) = 0 Reorder the terms: (6x + -3xy + 6x2 + -12x2y) = 0 (6x + -3xy + 6x2 + -12x2y) = 0 Solving 6x + -3xy + 6x2 + -12x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(2 + -1y + 2x + -4xy) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(2 + -1y + 2x + -4xy)' equal to zero and attempt to solve: Simplifying 2 + -1y + 2x + -4xy = 0 Reorder the terms: 2 + 2x + -4xy + -1y = 0 Solving 2 + 2x + -4xy + -1y = 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 + -4xy + -2 + -1y = 0 + -2 Reorder the terms: 2 + -2 + 2x + -4xy + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + -4xy + -1y = 0 + -2 2x + -4xy + -1y = 0 + -2 Combine like terms: 0 + -2 = -2 2x + -4xy + -1y = -2 Add 'y' to each side of the equation. 2x + -4xy + -1y + y = -2 + y Combine like terms: -1y + y = 0 2x + -4xy + 0 = -2 + y 2x + -4xy = -2 + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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