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Simplifying 0 = 4xy + 7x + -3y + 2xy + -1x + -1y Reorder the terms: 0 = 7x + -1x + 4xy + 2xy + -3y + -1y Combine like terms: 7x + -1x = 6x 0 = 6x + 4xy + 2xy + -3y + -1y Combine like terms: 4xy + 2xy = 6xy 0 = 6x + 6xy + -3y + -1y Combine like terms: -3y + -1y = -4y 0 = 6x + 6xy + -4y Solving 0 = 6x + 6xy + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0 + -6x = 6x + 6xy + -6x + -4y Remove the zero: -6x = 6x + 6xy + -6x + -4y Reorder the terms: -6x = 6x + -6x + 6xy + -4y Combine like terms: 6x + -6x = 0 -6x = 0 + 6xy + -4y -6x = 6xy + -4y Add '-6xy' to each side of the equation. -6x + -6xy = 6xy + -6xy + -4y Combine like terms: 6xy + -6xy = 0 -6x + -6xy = 0 + -4y -6x + -6xy = -4y Combine like terms: -4y + 4y = 0 -6x + -6xy + 4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3x + -3xy + 2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3x + -3xy + 2y)' equal to zero and attempt to solve: Simplifying -3x + -3xy + 2y = 0 Solving -3x + -3xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -3x + -3xy + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -3x + -3xy + 0 = 0 + -2y -3x + -3xy = 0 + -2y Remove the zero: -3x + -3xy = -2y 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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