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Simplifying 4xy + 20x + 8y + -2 = 0 Reorder the terms: -2 + 20x + 4xy + 8y = 0 Solving -2 + 20x + 4xy + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 20x + 4xy + 2 + 8y = 0 + 2 Reorder the terms: -2 + 2 + 20x + 4xy + 8y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 20x + 4xy + 8y = 0 + 2 20x + 4xy + 8y = 0 + 2 Combine like terms: 0 + 2 = 2 20x + 4xy + 8y = 2 Add '-8y' to each side of the equation. 20x + 4xy + 8y + -8y = 2 + -8y Combine like terms: 8y + -8y = 0 20x + 4xy + 0 = 2 + -8y 20x + 4xy = 2 + -8y Reorder the terms: -2 + 20x + 4xy + 8y = 2 + -8y + -2 + 8y Reorder the terms: -2 + 20x + 4xy + 8y = 2 + -2 + -8y + 8y Combine like terms: 2 + -2 = 0 -2 + 20x + 4xy + 8y = 0 + -8y + 8y -2 + 20x + 4xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 -2 + 20x + 4xy + 8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 10x + 2xy + 4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 10x + 2xy + 4y)' equal to zero and attempt to solve: Simplifying -1 + 10x + 2xy + 4y = 0 Solving -1 + 10x + 2xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 10x + 2xy + 1 + 4y = 0 + 1 Reorder the terms: -1 + 1 + 10x + 2xy + 4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x + 2xy + 4y = 0 + 1 10x + 2xy + 4y = 0 + 1 Combine like terms: 0 + 1 = 1 10x + 2xy + 4y = 1 Add '-4y' to each side of the equation. 10x + 2xy + 4y + -4y = 1 + -4y Combine like terms: 4y + -4y = 0 10x + 2xy + 0 = 1 + -4y 10x + 2xy = 1 + -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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