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Simplifying (4x + 5)(3y + -7) = 0 Reorder the terms: (5 + 4x)(3y + -7) = 0 Reorder the terms: (5 + 4x)(-7 + 3y) = 0 Multiply (5 + 4x) * (-7 + 3y) (5(-7 + 3y) + 4x * (-7 + 3y)) = 0 ((-7 * 5 + 3y * 5) + 4x * (-7 + 3y)) = 0 ((-35 + 15y) + 4x * (-7 + 3y)) = 0 (-35 + 15y + (-7 * 4x + 3y * 4x)) = 0 (-35 + 15y + (-28x + 12xy)) = 0 Reorder the terms: (-35 + -28x + 12xy + 15y) = 0 (-35 + -28x + 12xy + 15y) = 0 Solving -35 + -28x + 12xy + 15y = 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 + 12xy + 35 + 15y = 0 + 35 Reorder the terms: -35 + 35 + -28x + 12xy + 15y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -28x + 12xy + 15y = 0 + 35 -28x + 12xy + 15y = 0 + 35 Combine like terms: 0 + 35 = 35 -28x + 12xy + 15y = 35 Add '-15y' to each side of the equation. -28x + 12xy + 15y + -15y = 35 + -15y Combine like terms: 15y + -15y = 0 -28x + 12xy + 0 = 35 + -15y -28x + 12xy = 35 + -15y Reorder the terms: -35 + -28x + 12xy + 15y = 35 + -15y + -35 + 15y Reorder the terms: -35 + -28x + 12xy + 15y = 35 + -35 + -15y + 15y Combine like terms: 35 + -35 = 0 -35 + -28x + 12xy + 15y = 0 + -15y + 15y -35 + -28x + 12xy + 15y = -15y + 15y Combine like terms: -15y + 15y = 0 -35 + -28x + 12xy + 15y = 0 The solution to this equation could not be determined.
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