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Simplifying 2xy + 8y + 8x + 32 = 0 Reorder the terms: 32 + 8x + 2xy + 8y = 0 Solving 32 + 8x + 2xy + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 8x + 2xy + -32 + 8y = 0 + -32 Reorder the terms: 32 + -32 + 8x + 2xy + 8y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8x + 2xy + 8y = 0 + -32 8x + 2xy + 8y = 0 + -32 Combine like terms: 0 + -32 = -32 8x + 2xy + 8y = -32 Add '-8y' to each side of the equation. 8x + 2xy + 8y + -8y = -32 + -8y Combine like terms: 8y + -8y = 0 8x + 2xy + 0 = -32 + -8y 8x + 2xy = -32 + -8y Reorder the terms: 32 + 8x + 2xy + 8y = -32 + -8y + 32 + 8y Reorder the terms: 32 + 8x + 2xy + 8y = -32 + 32 + -8y + 8y Combine like terms: -32 + 32 = 0 32 + 8x + 2xy + 8y = 0 + -8y + 8y 32 + 8x + 2xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 32 + 8x + 2xy + 8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 4x + xy + 4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16 + 4x + xy + 4y)' equal to zero and attempt to solve: Simplifying 16 + 4x + xy + 4y = 0 Solving 16 + 4x + xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 4x + xy + -16 + 4y = 0 + -16 Reorder the terms: 16 + -16 + 4x + xy + 4y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4x + xy + 4y = 0 + -16 4x + xy + 4y = 0 + -16 Combine like terms: 0 + -16 = -16 4x + xy + 4y = -16 Add '-4y' to each side of the equation. 4x + xy + 4y + -4y = -16 + -4y Combine like terms: 4y + -4y = 0 4x + xy + 0 = -16 + -4y 4x + xy = -16 + -4y 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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