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Simplifying (4x + 5)(5y + -4) = 0 Reorder the terms: (5 + 4x)(5y + -4) = 0 Reorder the terms: (5 + 4x)(-4 + 5y) = 0 Multiply (5 + 4x) * (-4 + 5y) (5(-4 + 5y) + 4x * (-4 + 5y)) = 0 ((-4 * 5 + 5y * 5) + 4x * (-4 + 5y)) = 0 ((-20 + 25y) + 4x * (-4 + 5y)) = 0 (-20 + 25y + (-4 * 4x + 5y * 4x)) = 0 (-20 + 25y + (-16x + 20xy)) = 0 Reorder the terms: (-20 + -16x + 20xy + 25y) = 0 (-20 + -16x + 20xy + 25y) = 0 Solving -20 + -16x + 20xy + 25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -16x + 20xy + 20 + 25y = 0 + 20 Reorder the terms: -20 + 20 + -16x + 20xy + 25y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -16x + 20xy + 25y = 0 + 20 -16x + 20xy + 25y = 0 + 20 Combine like terms: 0 + 20 = 20 -16x + 20xy + 25y = 20 Add '-25y' to each side of the equation. -16x + 20xy + 25y + -25y = 20 + -25y Combine like terms: 25y + -25y = 0 -16x + 20xy + 0 = 20 + -25y -16x + 20xy = 20 + -25y Reorder the terms: -20 + -16x + 20xy + 25y = 20 + -25y + -20 + 25y Reorder the terms: -20 + -16x + 20xy + 25y = 20 + -20 + -25y + 25y Combine like terms: 20 + -20 = 0 -20 + -16x + 20xy + 25y = 0 + -25y + 25y -20 + -16x + 20xy + 25y = -25y + 25y Combine like terms: -25y + 25y = 0 -20 + -16x + 20xy + 25y = 0 The solution to this equation could not be determined.
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