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Simplifying 5xy + 7x + -3y + -1x + 4xy = 0 Reorder the terms: 7x + -1x + 5xy + 4xy + -3y = 0 Combine like terms: 7x + -1x = 6x 6x + 5xy + 4xy + -3y = 0 Combine like terms: 5xy + 4xy = 9xy 6x + 9xy + -3y = 0 Solving 6x + 9xy + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 6x + 9xy + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 6x + 9xy + 0 = 0 + 3y 6x + 9xy = 0 + 3y Remove the zero: 6x + 9xy = 3y Combine like terms: 3y + -3y = 0 6x + 9xy + -3y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2x + 3xy + -1y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2x + 3xy + -1y)' equal to zero and attempt to solve: Simplifying 2x + 3xy + -1y = 0 Solving 2x + 3xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + 3xy + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 3xy + 0 = 0 + y 2x + 3xy = 0 + y Remove the zero: 2x + 3xy = y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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