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