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Simplifying (3x + 4)(5y + -9) = 0 Reorder the terms: (4 + 3x)(5y + -9) = 0 Reorder the terms: (4 + 3x)(-9 + 5y) = 0 Multiply (4 + 3x) * (-9 + 5y) (4(-9 + 5y) + 3x * (-9 + 5y)) = 0 ((-9 * 4 + 5y * 4) + 3x * (-9 + 5y)) = 0 ((-36 + 20y) + 3x * (-9 + 5y)) = 0 (-36 + 20y + (-9 * 3x + 5y * 3x)) = 0 (-36 + 20y + (-27x + 15xy)) = 0 Reorder the terms: (-36 + -27x + 15xy + 20y) = 0 (-36 + -27x + 15xy + 20y) = 0 Solving -36 + -27x + 15xy + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + -27x + 15xy + 36 + 20y = 0 + 36 Reorder the terms: -36 + 36 + -27x + 15xy + 20y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -27x + 15xy + 20y = 0 + 36 -27x + 15xy + 20y = 0 + 36 Combine like terms: 0 + 36 = 36 -27x + 15xy + 20y = 36 Add '-20y' to each side of the equation. -27x + 15xy + 20y + -20y = 36 + -20y Combine like terms: 20y + -20y = 0 -27x + 15xy + 0 = 36 + -20y -27x + 15xy = 36 + -20y Reorder the terms: -36 + -27x + 15xy + 20y = 36 + -20y + -36 + 20y Reorder the terms: -36 + -27x + 15xy + 20y = 36 + -36 + -20y + 20y Combine like terms: 36 + -36 = 0 -36 + -27x + 15xy + 20y = 0 + -20y + 20y -36 + -27x + 15xy + 20y = -20y + 20y Combine like terms: -20y + 20y = 0 -36 + -27x + 15xy + 20y = 0 The solution to this equation could not be determined.
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