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Simplifying 3x + -4xy = -1xy Solving 3x + -4xy = -1xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'xy' to each side of the equation. 3x + -4xy + xy = -1xy + xy Combine like terms: -4xy + xy = -3xy 3x + -3xy = -1xy + xy Combine like terms: -1xy + xy = 0 3x + -3xy = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + -1y) = 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 '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -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 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Add 'y' to each side of the equation. -1y + y = -1 + y Combine like terms: -1y + y = 0 0 = -1 + y Simplifying 0 = -1 + 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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