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Simplifying -7x + 3y + -5xy + 5x + -4y + -7xy = 0 Reorder the terms: -7x + 5x + -5xy + -7xy + 3y + -4y = 0 Combine like terms: -7x + 5x = -2x -2x + -5xy + -7xy + 3y + -4y = 0 Combine like terms: -5xy + -7xy = -12xy -2x + -12xy + 3y + -4y = 0 Combine like terms: 3y + -4y = -1y -2x + -12xy + -1y = 0 Solving -2x + -12xy + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -2x + -12xy + -1y + y = 0 + y Combine like terms: -1y + y = 0 -2x + -12xy + 0 = 0 + y -2x + -12xy = 0 + y Remove the zero: -2x + -12xy = y Combine like terms: y + -1y = 0 -2x + -12xy + -1y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2x + 12xy + y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2x + 12xy + y)' equal to zero and attempt to solve: Simplifying 2x + 12xy + y = 0 Solving 2x + 12xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + 12xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + 12xy + 0 = 0 + -1y 2x + 12xy = 0 + -1y Remove the zero: 2x + 12xy = -1y 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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