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Simplifying 0 = (x + 3)(y + 2) Reorder the terms: 0 = (3 + x)(y + 2) Reorder the terms: 0 = (3 + x)(2 + y) Multiply (3 + x) * (2 + y) 0 = (3(2 + y) + x(2 + y)) 0 = ((2 * 3 + y * 3) + x(2 + y)) 0 = ((6 + 3y) + x(2 + y)) 0 = (6 + 3y + (2 * x + y * x)) 0 = (6 + 3y + (2x + xy)) Reorder the terms: 0 = (6 + 2x + xy + 3y) 0 = (6 + 2x + xy + 3y) Solving 0 = 6 + 2x + xy + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0 + -2x = 6 + 2x + xy + -2x + 3y Remove the zero: -2x = 6 + 2x + xy + -2x + 3y Reorder the terms: -2x = 6 + 2x + -2x + xy + 3y Combine like terms: 2x + -2x = 0 -2x = 6 + 0 + xy + 3y -2x = 6 + xy + 3y Add '-1xy' to each side of the equation. -2x + -1xy = 6 + xy + -1xy + 3y Combine like terms: xy + -1xy = 0 -2x + -1xy = 6 + 0 + 3y -2x + -1xy = 6 + 3y Reorder the terms: -6 + -2x + -1xy + -3y = 6 + 3y + -6 + -3y Reorder the terms: -6 + -2x + -1xy + -3y = 6 + -6 + 3y + -3y Combine like terms: 6 + -6 = 0 -6 + -2x + -1xy + -3y = 0 + 3y + -3y -6 + -2x + -1xy + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 -6 + -2x + -1xy + -3y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 2x + xy + 3y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 2x + xy + 3y)' equal to zero and attempt to solve: Simplifying 6 + 2x + xy + 3y = 0 Solving 6 + 2x + xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2x + xy + -6 + 3y = 0 + -6 Reorder the terms: 6 + -6 + 2x + xy + 3y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + xy + 3y = 0 + -6 2x + xy + 3y = 0 + -6 Combine like terms: 0 + -6 = -6 2x + xy + 3y = -6 Add '-3y' to each side of the equation. 2x + xy + 3y + -3y = -6 + -3y Combine like terms: 3y + -3y = 0 2x + xy + 0 = -6 + -3y 2x + xy = -6 + -3y 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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