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Simplifying 12x + 2y = 2xy Solving 12x + 2y = 2xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2xy' to each side of the equation. 12x + -2xy + 2y = 2xy + -2xy Combine like terms: 2xy + -2xy = 0 12x + -2xy + 2y = 0 Add '-2y' to each side of the equation. 12x + -2xy + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 12x + -2xy + 0 = 0 + -2y 12x + -2xy = 0 + -2y Remove the zero: 12x + -2xy = -2y Combine like terms: -2y + 2y = 0 12x + -2xy + 2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6x + -1xy + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6x + -1xy + y)' equal to zero and attempt to solve: Simplifying 6x + -1xy + y = 0 Solving 6x + -1xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 6x + -1xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 6x + -1xy + 0 = 0 + -1y 6x + -1xy = 0 + -1y Remove the zero: 6x + -1xy = -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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