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Simplifying 3xy = 4x + -1xy + -5x Reorder the terms: 3xy = 4x + -5x + -1xy Combine like terms: 4x + -5x = -1x 3xy = -1x + -1xy Solving 3xy = -1x + -1xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. x + 3xy = -1x + x + -1xy Combine like terms: -1x + x = 0 x + 3xy = 0 + -1xy x + 3xy = -1xy Add 'xy' to each side of the equation. x + 3xy + xy = -1xy + xy Combine like terms: 3xy + xy = 4xy x + 4xy = -1xy + xy Combine like terms: -1xy + xy = 0 x + 4xy = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 4y) = 0Subproblem 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 + 4y)' equal to zero and attempt to solve: Simplifying 1 + 4y = 0 Solving 1 + 4y = 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 + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 0 + -1 4y = 0 + -1 Combine like terms: 0 + -1 = -1 4y = -1 Add '-4y' to each side of the equation. 4y + -4y = -1 + -4y Combine like terms: 4y + -4y = 0 0 = -1 + -4y Simplifying 0 = -1 + -4y 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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