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Simplifying (X + 4)(x + -3)(x + -2) = 0 Reorder the terms: (4 + X)(x + -3)(x + -2) = 0 Reorder the terms: (4 + X)(-3 + x)(x + -2) = 0 Reorder the terms: (4 + X)(-3 + x)(-2 + x) = 0 Multiply (4 + X) * (-3 + x) (4(-3 + x) + X(-3 + x))(-2 + x) = 0 ((-3 * 4 + x * 4) + X(-3 + x))(-2 + x) = 0 ((-12 + 4x) + X(-3 + x))(-2 + x) = 0 (-12 + 4x + (-3 * X + x * X))(-2 + x) = 0 (-12 + 4x + (-3X + xX))(-2 + x) = 0 Reorder the terms: (-12 + -3X + 4x + xX)(-2 + x) = 0 (-12 + -3X + 4x + xX)(-2 + x) = 0 Multiply (-12 + -3X + 4x + xX) * (-2 + x) (-12(-2 + x) + -3X * (-2 + x) + 4x * (-2 + x) + xX(-2 + x)) = 0 ((-2 * -12 + x * -12) + -3X * (-2 + x) + 4x * (-2 + x) + xX(-2 + x)) = 0 ((24 + -12x) + -3X * (-2 + x) + 4x * (-2 + x) + xX(-2 + x)) = 0 (24 + -12x + (-2 * -3X + x * -3X) + 4x * (-2 + x) + xX(-2 + x)) = 0 (24 + -12x + (6X + -3xX) + 4x * (-2 + x) + xX(-2 + x)) = 0 (24 + -12x + 6X + -3xX + (-2 * 4x + x * 4x) + xX(-2 + x)) = 0 (24 + -12x + 6X + -3xX + (-8x + 4x2) + xX(-2 + x)) = 0 (24 + -12x + 6X + -3xX + -8x + 4x2 + (-2 * xX + x * xX)) = 0 (24 + -12x + 6X + -3xX + -8x + 4x2 + (-2xX + x2X)) = 0 Reorder the terms: (24 + 6X + -12x + -8x + -3xX + -2xX + 4x2 + x2X) = 0 Combine like terms: -12x + -8x = -20x (24 + 6X + -20x + -3xX + -2xX + 4x2 + x2X) = 0 Combine like terms: -3xX + -2xX = -5xX (24 + 6X + -20x + -5xX + 4x2 + x2X) = 0 Solving 24 + 6X + -20x + -5xX + 4x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 6X + -20x + -5xX + 4x2 + -24 + x2X = 0 + -24 Reorder the terms: 24 + -24 + 6X + -20x + -5xX + 4x2 + x2X = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 6X + -20x + -5xX + 4x2 + x2X = 0 + -24 6X + -20x + -5xX + 4x2 + x2X = 0 + -24 Combine like terms: 0 + -24 = -24 6X + -20x + -5xX + 4x2 + x2X = -24 Add '20x' to each side of the equation. 6X + -20x + -5xX + 4x2 + 20x + x2X = -24 + 20x Reorder the terms: 6X + -20x + 20x + -5xX + 4x2 + x2X = -24 + 20x Combine like terms: -20x + 20x = 0 6X + 0 + -5xX + 4x2 + x2X = -24 + 20x 6X + -5xX + 4x2 + x2X = -24 + 20x Add '-4x2' to each side of the equation. 6X + -5xX + 4x2 + -4x2 + x2X = -24 + 20x + -4x2 Combine like terms: 4x2 + -4x2 = 0 6X + -5xX + 0 + x2X = -24 + 20x + -4x2 6X + -5xX + x2X = -24 + 20x + -4x2 Reorder the terms: 24 + 6X + -20x + -5xX + 4x2 + x2X = -24 + 20x + -4x2 + 24 + -20x + 4x2 Reorder the terms: 24 + 6X + -20x + -5xX + 4x2 + x2X = -24 + 24 + 20x + -20x + -4x2 + 4x2 Combine like terms: -24 + 24 = 0 24 + 6X + -20x + -5xX + 4x2 + x2X = 0 + 20x + -20x + -4x2 + 4x2 24 + 6X + -20x + -5xX + 4x2 + x2X = 20x + -20x + -4x2 + 4x2 Combine like terms: 20x + -20x = 0 24 + 6X + -20x + -5xX + 4x2 + x2X = 0 + -4x2 + 4x2 24 + 6X + -20x + -5xX + 4x2 + x2X = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 24 + 6X + -20x + -5xX + 4x2 + x2X = 0 The solution to this equation could not be determined.
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