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Simplifying 13xy + 8y + 24 + -5xy + 8x = 0 Reorder the terms: 24 + 8x + 13xy + -5xy + 8y = 0 Combine like terms: 13xy + -5xy = 8xy 24 + 8x + 8xy + 8y = 0 Solving 24 + 8x + 8xy + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 8x + 8xy + -24 + 8y = 0 + -24 Reorder the terms: 24 + -24 + 8x + 8xy + 8y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8x + 8xy + 8y = 0 + -24 8x + 8xy + 8y = 0 + -24 Combine like terms: 0 + -24 = -24 8x + 8xy + 8y = -24 Add '-8y' to each side of the equation. 8x + 8xy + 8y + -8y = -24 + -8y Combine like terms: 8y + -8y = 0 8x + 8xy + 0 = -24 + -8y 8x + 8xy = -24 + -8y Reorder the terms: 24 + 8x + 8xy + 8y = -24 + -8y + 24 + 8y Reorder the terms: 24 + 8x + 8xy + 8y = -24 + 24 + -8y + 8y Combine like terms: -24 + 24 = 0 24 + 8x + 8xy + 8y = 0 + -8y + 8y 24 + 8x + 8xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 24 + 8x + 8xy + 8y = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(3 + x + xy + y) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(3 + x + xy + y)' equal to zero and attempt to solve: Simplifying 3 + x + xy + y = 0 Solving 3 + x + xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + x + xy + -3 + y = 0 + -3 Reorder the terms: 3 + -3 + x + xy + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x + xy + y = 0 + -3 x + xy + y = 0 + -3 Combine like terms: 0 + -3 = -3 x + xy + y = -3 Add '-1y' to each side of the equation. x + xy + y + -1y = -3 + -1y Combine like terms: y + -1y = 0 x + xy + 0 = -3 + -1y x + xy = -3 + -1y 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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