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Simplifying 2x(y + 2) + 4(y + 2) = 0 Reorder the terms: 2x(2 + y) + 4(y + 2) = 0 (2 * 2x + y * 2x) + 4(y + 2) = 0 (4x + 2xy) + 4(y + 2) = 0 Reorder the terms: 4x + 2xy + 4(2 + y) = 0 4x + 2xy + (2 * 4 + y * 4) = 0 4x + 2xy + (8 + 4y) = 0 Reorder the terms: 8 + 4x + 2xy + 4y = 0 Solving 8 + 4x + 2xy + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4x + 2xy + -8 + 4y = 0 + -8 Reorder the terms: 8 + -8 + 4x + 2xy + 4y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4x + 2xy + 4y = 0 + -8 4x + 2xy + 4y = 0 + -8 Combine like terms: 0 + -8 = -8 4x + 2xy + 4y = -8 Add '-4y' to each side of the equation. 4x + 2xy + 4y + -4y = -8 + -4y Combine like terms: 4y + -4y = 0 4x + 2xy + 0 = -8 + -4y 4x + 2xy = -8 + -4y Reorder the terms: 8 + 4x + 2xy + 4y = -8 + -4y + 8 + 4y Reorder the terms: 8 + 4x + 2xy + 4y = -8 + 8 + -4y + 4y Combine like terms: -8 + 8 = 0 8 + 4x + 2xy + 4y = 0 + -4y + 4y 8 + 4x + 2xy + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 8 + 4x + 2xy + 4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 2x + xy + 2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 2x + xy + 2y)' equal to zero and attempt to solve: Simplifying 4 + 2x + xy + 2y = 0 Solving 4 + 2x + xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2x + xy + -4 + 2y = 0 + -4 Reorder the terms: 4 + -4 + 2x + xy + 2y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + xy + 2y = 0 + -4 2x + xy + 2y = 0 + -4 Combine like terms: 0 + -4 = -4 2x + xy + 2y = -4 Add '-2y' to each side of the equation. 2x + xy + 2y + -2y = -4 + -2y Combine like terms: 2y + -2y = 0 2x + xy + 0 = -4 + -2y 2x + xy = -4 + -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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