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Simplifying 8 + 2x + 2x + 10y + 40y + 10xy = 100 Reorder the terms: 8 + 2x + 2x + 10xy + 10y + 40y = 100 Combine like terms: 2x + 2x = 4x 8 + 4x + 10xy + 10y + 40y = 100 Combine like terms: 10y + 40y = 50y 8 + 4x + 10xy + 50y = 100 Solving 8 + 4x + 10xy + 50y = 100 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 + 10xy + -8 + 50y = 100 + -8 Reorder the terms: 8 + -8 + 4x + 10xy + 50y = 100 + -8 Combine like terms: 8 + -8 = 0 0 + 4x + 10xy + 50y = 100 + -8 4x + 10xy + 50y = 100 + -8 Combine like terms: 100 + -8 = 92 4x + 10xy + 50y = 92 Add '-50y' to each side of the equation. 4x + 10xy + 50y + -50y = 92 + -50y Combine like terms: 50y + -50y = 0 4x + 10xy + 0 = 92 + -50y 4x + 10xy = 92 + -50y Reorder the terms: -92 + 4x + 10xy + 50y = 92 + -50y + -92 + 50y Reorder the terms: -92 + 4x + 10xy + 50y = 92 + -92 + -50y + 50y Combine like terms: 92 + -92 = 0 -92 + 4x + 10xy + 50y = 0 + -50y + 50y -92 + 4x + 10xy + 50y = -50y + 50y Combine like terms: -50y + 50y = 0 -92 + 4x + 10xy + 50y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-46 + 2x + 5xy + 25y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-46 + 2x + 5xy + 25y)' equal to zero and attempt to solve: Simplifying -46 + 2x + 5xy + 25y = 0 Solving -46 + 2x + 5xy + 25y = 0 Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 2x + 5xy + 46 + 25y = 0 + 46 Reorder the terms: -46 + 46 + 2x + 5xy + 25y = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 2x + 5xy + 25y = 0 + 46 2x + 5xy + 25y = 0 + 46 Combine like terms: 0 + 46 = 46 2x + 5xy + 25y = 46 Add '-25y' to each side of the equation. 2x + 5xy + 25y + -25y = 46 + -25y Combine like terms: 25y + -25y = 0 2x + 5xy + 0 = 46 + -25y 2x + 5xy = 46 + -25y 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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