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