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Simplifying 7x + -10y + 3x + 5xy = 0 Reorder the terms: 7x + 3x + 5xy + -10y = 0 Combine like terms: 7x + 3x = 10x 10x + 5xy + -10y = 0 Solving 10x + 5xy + -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 + 5xy + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 10x + 5xy + 0 = 0 + 10y 10x + 5xy = 0 + 10y Remove the zero: 10x + 5xy = 10y Combine like terms: 10y + -10y = 0 10x + 5xy + -10y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(2x + xy + -2y) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2x + xy + -2y)' equal to zero and attempt to solve: Simplifying 2x + xy + -2y = 0 Solving 2x + xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 2x + xy + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 2x + xy + 0 = 0 + 2y 2x + xy = 0 + 2y Remove the zero: 2x + xy = 2y 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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