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Simplifying (x + -6)(y + 4) = 1728 Reorder the terms: (-6 + x)(y + 4) = 1728 Reorder the terms: (-6 + x)(4 + y) = 1728 Multiply (-6 + x) * (4 + y) (-6(4 + y) + x(4 + y)) = 1728 ((4 * -6 + y * -6) + x(4 + y)) = 1728 ((-24 + -6y) + x(4 + y)) = 1728 (-24 + -6y + (4 * x + y * x)) = 1728 (-24 + -6y + (4x + xy)) = 1728 Reorder the terms: (-24 + 4x + xy + -6y) = 1728 (-24 + 4x + xy + -6y) = 1728 Solving -24 + 4x + xy + -6y = 1728 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 + 4x + xy + 24 + -6y = 1728 + 24 Reorder the terms: -24 + 24 + 4x + xy + -6y = 1728 + 24 Combine like terms: -24 + 24 = 0 0 + 4x + xy + -6y = 1728 + 24 4x + xy + -6y = 1728 + 24 Combine like terms: 1728 + 24 = 1752 4x + xy + -6y = 1752 Add '6y' to each side of the equation. 4x + xy + -6y + 6y = 1752 + 6y Combine like terms: -6y + 6y = 0 4x + xy + 0 = 1752 + 6y 4x + xy = 1752 + 6y Reorder the terms: -1752 + 4x + xy + -6y = 1752 + 6y + -1752 + -6y Reorder the terms: -1752 + 4x + xy + -6y = 1752 + -1752 + 6y + -6y Combine like terms: 1752 + -1752 = 0 -1752 + 4x + xy + -6y = 0 + 6y + -6y -1752 + 4x + xy + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -1752 + 4x + xy + -6y = 0 The solution to this equation could not be determined.
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