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Simplifying (x + 3)(y + 2) = 15 Reorder the terms: (3 + x)(y + 2) = 15 Reorder the terms: (3 + x)(2 + y) = 15 Multiply (3 + x) * (2 + y) (3(2 + y) + x(2 + y)) = 15 ((2 * 3 + y * 3) + x(2 + y)) = 15 ((6 + 3y) + x(2 + y)) = 15 (6 + 3y + (2 * x + y * x)) = 15 (6 + 3y + (2x + xy)) = 15 Reorder the terms: (6 + 2x + xy + 3y) = 15 (6 + 2x + xy + 3y) = 15 Solving 6 + 2x + xy + 3y = 15 Solving for variable 'x'. 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 = 15 + -6 Reorder the terms: 6 + -6 + 2x + xy + 3y = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + xy + 3y = 15 + -6 2x + xy + 3y = 15 + -6 Combine like terms: 15 + -6 = 9 2x + xy + 3y = 9 Add '-3y' to each side of the equation. 2x + xy + 3y + -3y = 9 + -3y Combine like terms: 3y + -3y = 0 2x + xy + 0 = 9 + -3y 2x + xy = 9 + -3y Reorder the terms: -9 + 2x + xy + 3y = 9 + -3y + -9 + 3y Reorder the terms: -9 + 2x + xy + 3y = 9 + -9 + -3y + 3y Combine like terms: 9 + -9 = 0 -9 + 2x + xy + 3y = 0 + -3y + 3y -9 + 2x + xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -9 + 2x + xy + 3y = 0 The solution to this equation could not be determined.
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