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