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Simplifying (5x + -5y) * 2 + 50xy = 0 Reorder the terms for easier multiplication: 2(5x + -5y) + 50xy = 0 (5x * 2 + -5y * 2) + 50xy = 0 (10x + -10y) + 50xy = 0 Reorder the terms: 10x + 50xy + -10y = 0 Solving 10x + 50xy + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 10x + 50xy + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 10x + 50xy + 0 = 0 + 10y 10x + 50xy = 0 + 10y Remove the zero: 10x + 50xy = 10y Combine like terms: 10y + -10y = 0 10x + 50xy + -10y = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(x + 5xy + -1y) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(x + 5xy + -1y)' equal to zero and attempt to solve: Simplifying x + 5xy + -1y = 0 Solving x + 5xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + 5xy + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 5xy + 0 = 0 + y x + 5xy = 0 + y Remove the zero: x + 5xy = y 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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