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Simplifying (5x + 8)(3y + -1) = 0 Reorder the terms: (8 + 5x)(3y + -1) = 0 Reorder the terms: (8 + 5x)(-1 + 3y) = 0 Multiply (8 + 5x) * (-1 + 3y) (8(-1 + 3y) + 5x * (-1 + 3y)) = 0 ((-1 * 8 + 3y * 8) + 5x * (-1 + 3y)) = 0 ((-8 + 24y) + 5x * (-1 + 3y)) = 0 (-8 + 24y + (-1 * 5x + 3y * 5x)) = 0 (-8 + 24y + (-5x + 15xy)) = 0 Reorder the terms: (-8 + -5x + 15xy + 24y) = 0 (-8 + -5x + 15xy + 24y) = 0 Solving -8 + -5x + 15xy + 24y = 0 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 + -5x + 15xy + 8 + 24y = 0 + 8 Reorder the terms: -8 + 8 + -5x + 15xy + 24y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x + 15xy + 24y = 0 + 8 -5x + 15xy + 24y = 0 + 8 Combine like terms: 0 + 8 = 8 -5x + 15xy + 24y = 8 Add '-24y' to each side of the equation. -5x + 15xy + 24y + -24y = 8 + -24y Combine like terms: 24y + -24y = 0 -5x + 15xy + 0 = 8 + -24y -5x + 15xy = 8 + -24y Reorder the terms: -8 + -5x + 15xy + 24y = 8 + -24y + -8 + 24y Reorder the terms: -8 + -5x + 15xy + 24y = 8 + -8 + -24y + 24y Combine like terms: 8 + -8 = 0 -8 + -5x + 15xy + 24y = 0 + -24y + 24y -8 + -5x + 15xy + 24y = -24y + 24y Combine like terms: -24y + 24y = 0 -8 + -5x + 15xy + 24y = 0 The solution to this equation could not be determined.
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