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Simplifying (4x + 5)(5y + -7) = 0 Reorder the terms: (5 + 4x)(5y + -7) = 0 Reorder the terms: (5 + 4x)(-7 + 5y) = 0 Multiply (5 + 4x) * (-7 + 5y) (5(-7 + 5y) + 4x * (-7 + 5y)) = 0 ((-7 * 5 + 5y * 5) + 4x * (-7 + 5y)) = 0 ((-35 + 25y) + 4x * (-7 + 5y)) = 0 (-35 + 25y + (-7 * 4x + 5y * 4x)) = 0 (-35 + 25y + (-28x + 20xy)) = 0 Reorder the terms: (-35 + -28x + 20xy + 25y) = 0 (-35 + -28x + 20xy + 25y) = 0 Solving -35 + -28x + 20xy + 25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -28x + 20xy + 35 + 25y = 0 + 35 Reorder the terms: -35 + 35 + -28x + 20xy + 25y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -28x + 20xy + 25y = 0 + 35 -28x + 20xy + 25y = 0 + 35 Combine like terms: 0 + 35 = 35 -28x + 20xy + 25y = 35 Add '-25y' to each side of the equation. -28x + 20xy + 25y + -25y = 35 + -25y Combine like terms: 25y + -25y = 0 -28x + 20xy + 0 = 35 + -25y -28x + 20xy = 35 + -25y Reorder the terms: -35 + -28x + 20xy + 25y = 35 + -25y + -35 + 25y Reorder the terms: -35 + -28x + 20xy + 25y = 35 + -35 + -25y + 25y Combine like terms: 35 + -35 = 0 -35 + -28x + 20xy + 25y = 0 + -25y + 25y -35 + -28x + 20xy + 25y = -25y + 25y Combine like terms: -25y + 25y = 0 -35 + -28x + 20xy + 25y = 0 The solution to this equation could not be determined.
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