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Simplifying 20x + 50 + 8xy + 20y = 0 Reorder the terms: 50 + 20x + 8xy + 20y = 0 Solving 50 + 20x + 8xy + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 20x + 8xy + -50 + 20y = 0 + -50 Reorder the terms: 50 + -50 + 20x + 8xy + 20y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 20x + 8xy + 20y = 0 + -50 20x + 8xy + 20y = 0 + -50 Combine like terms: 0 + -50 = -50 20x + 8xy + 20y = -50 Add '-20y' to each side of the equation. 20x + 8xy + 20y + -20y = -50 + -20y Combine like terms: 20y + -20y = 0 20x + 8xy + 0 = -50 + -20y 20x + 8xy = -50 + -20y Reorder the terms: 50 + 20x + 8xy + 20y = -50 + -20y + 50 + 20y Reorder the terms: 50 + 20x + 8xy + 20y = -50 + 50 + -20y + 20y Combine like terms: -50 + 50 = 0 50 + 20x + 8xy + 20y = 0 + -20y + 20y 50 + 20x + 8xy + 20y = -20y + 20y Combine like terms: -20y + 20y = 0 50 + 20x + 8xy + 20y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 10x + 4xy + 10y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + 10x + 4xy + 10y)' equal to zero and attempt to solve: Simplifying 25 + 10x + 4xy + 10y = 0 Solving 25 + 10x + 4xy + 10y = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 10x + 4xy + -25 + 10y = 0 + -25 Reorder the terms: 25 + -25 + 10x + 4xy + 10y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 10x + 4xy + 10y = 0 + -25 10x + 4xy + 10y = 0 + -25 Combine like terms: 0 + -25 = -25 10x + 4xy + 10y = -25 Add '-10y' to each side of the equation. 10x + 4xy + 10y + -10y = -25 + -10y Combine like terms: 10y + -10y = 0 10x + 4xy + 0 = -25 + -10y 10x + 4xy = -25 + -10y 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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