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Simplifying 0 = xy + 7x + 2y + 14 Reorder the terms: 0 = 14 + 7x + xy + 2y Solving 0 = 14 + 7x + xy + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 0 + -7x = 14 + 7x + xy + -7x + 2y Remove the zero: -7x = 14 + 7x + xy + -7x + 2y Reorder the terms: -7x = 14 + 7x + -7x + xy + 2y Combine like terms: 7x + -7x = 0 -7x = 14 + 0 + xy + 2y -7x = 14 + xy + 2y Add '-1xy' to each side of the equation. -7x + -1xy = 14 + xy + -1xy + 2y Combine like terms: xy + -1xy = 0 -7x + -1xy = 14 + 0 + 2y -7x + -1xy = 14 + 2y Reorder the terms: -14 + -7x + -1xy + -2y = 14 + 2y + -14 + -2y Reorder the terms: -14 + -7x + -1xy + -2y = 14 + -14 + 2y + -2y Combine like terms: 14 + -14 = 0 -14 + -7x + -1xy + -2y = 0 + 2y + -2y -14 + -7x + -1xy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -14 + -7x + -1xy + -2y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(14 + 7x + xy + 2y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(14 + 7x + xy + 2y)' equal to zero and attempt to solve: Simplifying 14 + 7x + xy + 2y = 0 Solving 14 + 7x + xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 7x + xy + -14 + 2y = 0 + -14 Reorder the terms: 14 + -14 + 7x + xy + 2y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7x + xy + 2y = 0 + -14 7x + xy + 2y = 0 + -14 Combine like terms: 0 + -14 = -14 7x + xy + 2y = -14 Add '-2y' to each side of the equation. 7x + xy + 2y + -2y = -14 + -2y Combine like terms: 2y + -2y = 0 7x + xy + 0 = -14 + -2y 7x + xy = -14 + -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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