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Simplifying (X + 9)(x + 1)(x + -4) = 0 Reorder the terms: (9 + X)(x + 1)(x + -4) = 0 Reorder the terms: (9 + X)(1 + x)(x + -4) = 0 Reorder the terms: (9 + X)(1 + x)(-4 + x) = 0 Multiply (9 + X) * (1 + x) (9(1 + x) + X(1 + x))(-4 + x) = 0 ((1 * 9 + x * 9) + X(1 + x))(-4 + x) = 0 ((9 + 9x) + X(1 + x))(-4 + x) = 0 (9 + 9x + (1 * X + x * X))(-4 + x) = 0 (9 + 9x + (1X + xX))(-4 + x) = 0 Reorder the terms: (9 + 1X + 9x + xX)(-4 + x) = 0 (9 + 1X + 9x + xX)(-4 + x) = 0 Multiply (9 + 1X + 9x + xX) * (-4 + x) (9(-4 + x) + 1X * (-4 + x) + 9x * (-4 + x) + xX(-4 + x)) = 0 ((-4 * 9 + x * 9) + 1X * (-4 + x) + 9x * (-4 + x) + xX(-4 + x)) = 0 ((-36 + 9x) + 1X * (-4 + x) + 9x * (-4 + x) + xX(-4 + x)) = 0 (-36 + 9x + (-4 * 1X + x * 1X) + 9x * (-4 + x) + xX(-4 + x)) = 0 (-36 + 9x + (-4X + 1xX) + 9x * (-4 + x) + xX(-4 + x)) = 0 (-36 + 9x + -4X + 1xX + (-4 * 9x + x * 9x) + xX(-4 + x)) = 0 (-36 + 9x + -4X + 1xX + (-36x + 9x2) + xX(-4 + x)) = 0 (-36 + 9x + -4X + 1xX + -36x + 9x2 + (-4 * xX + x * xX)) = 0 (-36 + 9x + -4X + 1xX + -36x + 9x2 + (-4xX + x2X)) = 0 Reorder the terms: (-36 + -4X + 9x + -36x + 1xX + -4xX + 9x2 + x2X) = 0 Combine like terms: 9x + -36x = -27x (-36 + -4X + -27x + 1xX + -4xX + 9x2 + x2X) = 0 Combine like terms: 1xX + -4xX = -3xX (-36 + -4X + -27x + -3xX + 9x2 + x2X) = 0 Solving -36 + -4X + -27x + -3xX + 9x2 + x2X = 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 + -4X + -27x + -3xX + 9x2 + 36 + x2X = 0 + 36 Reorder the terms: -36 + 36 + -4X + -27x + -3xX + 9x2 + x2X = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -4X + -27x + -3xX + 9x2 + x2X = 0 + 36 -4X + -27x + -3xX + 9x2 + x2X = 0 + 36 Combine like terms: 0 + 36 = 36 -4X + -27x + -3xX + 9x2 + x2X = 36 Add '27x' to each side of the equation. -4X + -27x + -3xX + 9x2 + 27x + x2X = 36 + 27x Reorder the terms: -4X + -27x + 27x + -3xX + 9x2 + x2X = 36 + 27x Combine like terms: -27x + 27x = 0 -4X + 0 + -3xX + 9x2 + x2X = 36 + 27x -4X + -3xX + 9x2 + x2X = 36 + 27x Add '-9x2' to each side of the equation. -4X + -3xX + 9x2 + -9x2 + x2X = 36 + 27x + -9x2 Combine like terms: 9x2 + -9x2 = 0 -4X + -3xX + 0 + x2X = 36 + 27x + -9x2 -4X + -3xX + x2X = 36 + 27x + -9x2 Reorder the terms: -36 + -4X + -27x + -3xX + 9x2 + x2X = 36 + 27x + -9x2 + -36 + -27x + 9x2 Reorder the terms: -36 + -4X + -27x + -3xX + 9x2 + x2X = 36 + -36 + 27x + -27x + -9x2 + 9x2 Combine like terms: 36 + -36 = 0 -36 + -4X + -27x + -3xX + 9x2 + x2X = 0 + 27x + -27x + -9x2 + 9x2 -36 + -4X + -27x + -3xX + 9x2 + x2X = 27x + -27x + -9x2 + 9x2 Combine like terms: 27x + -27x = 0 -36 + -4X + -27x + -3xX + 9x2 + x2X = 0 + -9x2 + 9x2 -36 + -4X + -27x + -3xX + 9x2 + x2X = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 -36 + -4X + -27x + -3xX + 9x2 + x2X = 0 The solution to this equation could not be determined.
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