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Simplifying (x + 5)(y + 10) = 0 Reorder the terms: (5 + x)(y + 10) = 0 Reorder the terms: (5 + x)(10 + y) = 0 Multiply (5 + x) * (10 + y) (5(10 + y) + x(10 + y)) = 0 ((10 * 5 + y * 5) + x(10 + y)) = 0 ((50 + 5y) + x(10 + y)) = 0 (50 + 5y + (10 * x + y * x)) = 0 (50 + 5y + (10x + xy)) = 0 Reorder the terms: (50 + 10x + xy + 5y) = 0 (50 + 10x + xy + 5y) = 0 Solving 50 + 10x + xy + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 10x + xy + -50 + 5y = 0 + -50 Reorder the terms: 50 + -50 + 10x + xy + 5y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 10x + xy + 5y = 0 + -50 10x + xy + 5y = 0 + -50 Combine like terms: 0 + -50 = -50 10x + xy + 5y = -50 Add '-5y' to each side of the equation. 10x + xy + 5y + -5y = -50 + -5y Combine like terms: 5y + -5y = 0 10x + xy + 0 = -50 + -5y 10x + xy = -50 + -5y Reorder the terms: 50 + 10x + xy + 5y = -50 + -5y + 50 + 5y Reorder the terms: 50 + 10x + xy + 5y = -50 + 50 + -5y + 5y Combine like terms: -50 + 50 = 0 50 + 10x + xy + 5y = 0 + -5y + 5y 50 + 10x + xy + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 50 + 10x + xy + 5y = 0 The solution to this equation could not be determined.
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