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Simplifying (2x + 5)(4y + -3) = 0 Reorder the terms: (5 + 2x)(4y + -3) = 0 Reorder the terms: (5 + 2x)(-3 + 4y) = 0 Multiply (5 + 2x) * (-3 + 4y) (5(-3 + 4y) + 2x * (-3 + 4y)) = 0 ((-3 * 5 + 4y * 5) + 2x * (-3 + 4y)) = 0 ((-15 + 20y) + 2x * (-3 + 4y)) = 0 (-15 + 20y + (-3 * 2x + 4y * 2x)) = 0 (-15 + 20y + (-6x + 8xy)) = 0 Reorder the terms: (-15 + -6x + 8xy + 20y) = 0 (-15 + -6x + 8xy + 20y) = 0 Solving -15 + -6x + 8xy + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -6x + 8xy + 15 + 20y = 0 + 15 Reorder the terms: -15 + 15 + -6x + 8xy + 20y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -6x + 8xy + 20y = 0 + 15 -6x + 8xy + 20y = 0 + 15 Combine like terms: 0 + 15 = 15 -6x + 8xy + 20y = 15 Add '-20y' to each side of the equation. -6x + 8xy + 20y + -20y = 15 + -20y Combine like terms: 20y + -20y = 0 -6x + 8xy + 0 = 15 + -20y -6x + 8xy = 15 + -20y Reorder the terms: -15 + -6x + 8xy + 20y = 15 + -20y + -15 + 20y Reorder the terms: -15 + -6x + 8xy + 20y = 15 + -15 + -20y + 20y Combine like terms: 15 + -15 = 0 -15 + -6x + 8xy + 20y = 0 + -20y + 20y -15 + -6x + 8xy + 20y = -20y + 20y Combine like terms: -20y + 20y = 0 -15 + -6x + 8xy + 20y = 0 The solution to this equation could not be determined.
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