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Simplifying (3x + 8)(5y + -2) = 0 Reorder the terms: (8 + 3x)(5y + -2) = 0 Reorder the terms: (8 + 3x)(-2 + 5y) = 0 Multiply (8 + 3x) * (-2 + 5y) (8(-2 + 5y) + 3x * (-2 + 5y)) = 0 ((-2 * 8 + 5y * 8) + 3x * (-2 + 5y)) = 0 ((-16 + 40y) + 3x * (-2 + 5y)) = 0 (-16 + 40y + (-2 * 3x + 5y * 3x)) = 0 (-16 + 40y + (-6x + 15xy)) = 0 Reorder the terms: (-16 + -6x + 15xy + 40y) = 0 (-16 + -6x + 15xy + 40y) = 0 Solving -16 + -6x + 15xy + 40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -6x + 15xy + 16 + 40y = 0 + 16 Reorder the terms: -16 + 16 + -6x + 15xy + 40y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -6x + 15xy + 40y = 0 + 16 -6x + 15xy + 40y = 0 + 16 Combine like terms: 0 + 16 = 16 -6x + 15xy + 40y = 16 Add '-40y' to each side of the equation. -6x + 15xy + 40y + -40y = 16 + -40y Combine like terms: 40y + -40y = 0 -6x + 15xy + 0 = 16 + -40y -6x + 15xy = 16 + -40y Reorder the terms: -16 + -6x + 15xy + 40y = 16 + -40y + -16 + 40y Reorder the terms: -16 + -6x + 15xy + 40y = 16 + -16 + -40y + 40y Combine like terms: 16 + -16 = 0 -16 + -6x + 15xy + 40y = 0 + -40y + 40y -16 + -6x + 15xy + 40y = -40y + 40y Combine like terms: -40y + 40y = 0 -16 + -6x + 15xy + 40y = 0 The solution to this equation could not be determined.
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