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Simplifying (x + 4)(y + 2) = 56 Reorder the terms: (4 + x)(y + 2) = 56 Reorder the terms: (4 + x)(2 + y) = 56 Multiply (4 + x) * (2 + y) (4(2 + y) + x(2 + y)) = 56 ((2 * 4 + y * 4) + x(2 + y)) = 56 ((8 + 4y) + x(2 + y)) = 56 (8 + 4y + (2 * x + y * x)) = 56 (8 + 4y + (2x + xy)) = 56 Reorder the terms: (8 + 2x + xy + 4y) = 56 (8 + 2x + xy + 4y) = 56 Solving 8 + 2x + xy + 4y = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2x + xy + -8 + 4y = 56 + -8 Reorder the terms: 8 + -8 + 2x + xy + 4y = 56 + -8 Combine like terms: 8 + -8 = 0 0 + 2x + xy + 4y = 56 + -8 2x + xy + 4y = 56 + -8 Combine like terms: 56 + -8 = 48 2x + xy + 4y = 48 Add '-4y' to each side of the equation. 2x + xy + 4y + -4y = 48 + -4y Combine like terms: 4y + -4y = 0 2x + xy + 0 = 48 + -4y 2x + xy = 48 + -4y Reorder the terms: -48 + 2x + xy + 4y = 48 + -4y + -48 + 4y Reorder the terms: -48 + 2x + xy + 4y = 48 + -48 + -4y + 4y Combine like terms: 48 + -48 = 0 -48 + 2x + xy + 4y = 0 + -4y + 4y -48 + 2x + xy + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 -48 + 2x + xy + 4y = 0 The solution to this equation could not be determined.
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