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Simplifying (5x + 2)(4y + -1) = 0 Reorder the terms: (2 + 5x)(4y + -1) = 0 Reorder the terms: (2 + 5x)(-1 + 4y) = 0 Multiply (2 + 5x) * (-1 + 4y) (2(-1 + 4y) + 5x * (-1 + 4y)) = 0 ((-1 * 2 + 4y * 2) + 5x * (-1 + 4y)) = 0 ((-2 + 8y) + 5x * (-1 + 4y)) = 0 (-2 + 8y + (-1 * 5x + 4y * 5x)) = 0 (-2 + 8y + (-5x + 20xy)) = 0 Reorder the terms: (-2 + -5x + 20xy + 8y) = 0 (-2 + -5x + 20xy + 8y) = 0 Solving -2 + -5x + 20xy + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -5x + 20xy + 2 + 8y = 0 + 2 Reorder the terms: -2 + 2 + -5x + 20xy + 8y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x + 20xy + 8y = 0 + 2 -5x + 20xy + 8y = 0 + 2 Combine like terms: 0 + 2 = 2 -5x + 20xy + 8y = 2 Add '-8y' to each side of the equation. -5x + 20xy + 8y + -8y = 2 + -8y Combine like terms: 8y + -8y = 0 -5x + 20xy + 0 = 2 + -8y -5x + 20xy = 2 + -8y Reorder the terms: -2 + -5x + 20xy + 8y = 2 + -8y + -2 + 8y Reorder the terms: -2 + -5x + 20xy + 8y = 2 + -2 + -8y + 8y Combine like terms: 2 + -2 = 0 -2 + -5x + 20xy + 8y = 0 + -8y + 8y -2 + -5x + 20xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 -2 + -5x + 20xy + 8y = 0 The solution to this equation could not be determined.
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