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