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Simplifying (X + 2)(x + 2)(x + 2)(x + 2)(x + -1) = 0 Reorder the terms: (2 + X)(x + 2)(x + 2)(x + 2)(x + -1) = 0 Reorder the terms: (2 + X)(2 + x)(x + 2)(x + 2)(x + -1) = 0 Reorder the terms: (2 + X)(2 + x)(2 + x)(x + 2)(x + -1) = 0 Reorder the terms: (2 + X)(2 + x)(2 + x)(2 + x)(x + -1) = 0 Reorder the terms: (2 + X)(2 + x)(2 + x)(2 + x)(-1 + x) = 0 Multiply (2 + X) * (2 + x) (2(2 + x) + X(2 + x))(2 + x)(2 + x)(-1 + x) = 0 ((2 * 2 + x * 2) + X(2 + x))(2 + x)(2 + x)(-1 + x) = 0 ((4 + 2x) + X(2 + x))(2 + x)(2 + x)(-1 + x) = 0 (4 + 2x + (2 * X + x * X))(2 + x)(2 + x)(-1 + x) = 0 (4 + 2x + (2X + xX))(2 + x)(2 + x)(-1 + x) = 0 Reorder the terms: (4 + 2X + 2x + xX)(2 + x)(2 + x)(-1 + x) = 0 (4 + 2X + 2x + xX)(2 + x)(2 + x)(-1 + x) = 0 Multiply (4 + 2X + 2x + xX) * (2 + x) (4(2 + x) + 2X * (2 + x) + 2x * (2 + x) + xX(2 + x))(2 + x)(-1 + x) = 0 ((2 * 4 + x * 4) + 2X * (2 + x) + 2x * (2 + x) + xX(2 + x))(2 + x)(-1 + x) = 0 ((8 + 4x) + 2X * (2 + x) + 2x * (2 + x) + xX(2 + x))(2 + x)(-1 + x) = 0 (8 + 4x + (2 * 2X + x * 2X) + 2x * (2 + x) + xX(2 + x))(2 + x)(-1 + x) = 0 (8 + 4x + (4X + 2xX) + 2x * (2 + x) + xX(2 + x))(2 + x)(-1 + x) = 0 (8 + 4x + 4X + 2xX + (2 * 2x + x * 2x) + xX(2 + x))(2 + x)(-1 + x) = 0 (8 + 4x + 4X + 2xX + (4x + 2x2) + xX(2 + x))(2 + x)(-1 + x) = 0 (8 + 4x + 4X + 2xX + 4x + 2x2 + (2 * xX + x * xX))(2 + x)(-1 + x) = 0 (8 + 4x + 4X + 2xX + 4x + 2x2 + (2xX + x2X))(2 + x)(-1 + x) = 0 Reorder the terms: (8 + 4X + 4x + 4x + 2xX + 2xX + 2x2 + x2X)(2 + x)(-1 + x) = 0 Combine like terms: 4x + 4x = 8x (8 + 4X + 8x + 2xX + 2xX + 2x2 + x2X)(2 + x)(-1 + x) = 0 Combine like terms: 2xX + 2xX = 4xX (8 + 4X + 8x + 4xX + 2x2 + x2X)(2 + x)(-1 + x) = 0 Multiply (8 + 4X + 8x + 4xX + 2x2 + x2X) * (2 + x) (8(2 + x) + 4X * (2 + x) + 8x * (2 + x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0 ((2 * 8 + x * 8) + 4X * (2 + x) + 8x * (2 + x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0 ((16 + 8x) + 4X * (2 + x) + 8x * (2 + x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0 (16 + 8x + (2 * 4X + x * 4X) + 8x * (2 + x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0 (16 + 8x + (8X + 4xX) + 8x * (2 + x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0 (16 + 8x + 8X + 4xX + (2 * 8x + x * 8x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0 (16 + 8x + 8X + 4xX + (16x + 8x2) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0 (16 + 8x + 8X + 4xX + 16x + 8x2 + (2 * 4xX + x * 4xX) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0 (16 + 8x + 8X + 4xX + 16x + 8x2 + (8xX + 4x2X) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0 (16 + 8x + 8X + 4xX + 16x + 8x2 + 8xX + 4x2X + (2 * 2x2 + x * 2x2) + x2X(2 + x))(-1 + x) = 0 (16 + 8x + 8X + 4xX + 16x + 8x2 + 8xX + 4x2X + (4x2 + 2x3) + x2X(2 + x))(-1 + x) = 0 (16 + 8x + 8X + 4xX + 16x + 8x2 + 8xX + 4x2X + 4x2 + 2x3 + (2 * x2X + x * x2X))(-1 + x) = 0 (16 + 8x + 8X + 4xX + 16x + 8x2 + 8xX + 4x2X + 4x2 + 2x3 + (2x2X + x3X))(-1 + x) = 0 Reorder the terms: (16 + 8X + 8x + 16x + 4xX + 8xX + 8x2 + 4x2 + 4x2X + 2x2X + 2x3 + x3X)(-1 + x) = 0 Combine like terms: 8x + 16x = 24x (16 + 8X + 24x + 4xX + 8xX + 8x2 + 4x2 + 4x2X + 2x2X + 2x3 + x3X)(-1 + x) = 0 Combine like terms: 4xX + 8xX = 12xX (16 + 8X + 24x + 12xX + 8x2 + 4x2 + 4x2X + 2x2X + 2x3 + x3X)(-1 + x) = 0 Combine like terms: 8x2 + 4x2 = 12x2 (16 + 8X + 24x + 12xX + 12x2 + 4x2X + 2x2X + 2x3 + x3X)(-1 + x) = 0 Combine like terms: 4x2X + 2x2X = 6x2X (16 + 8X + 24x + 12xX + 12x2 + 6x2X + 2x3 + x3X)(-1 + x) = 0 Multiply (16 + 8X + 24x + 12xX + 12x2 + 6x2X + 2x3 + x3X) * (-1 + x) (16(-1 + x) + 8X * (-1 + x) + 24x * (-1 + x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 ((-1 * 16 + x * 16) + 8X * (-1 + x) + 24x * (-1 + x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 ((-16 + 16x) + 8X * (-1 + x) + 24x * (-1 + x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + (-1 * 8X + x * 8X) + 24x * (-1 + x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + (-8X + 8xX) + 24x * (-1 + x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + (-1 * 24x + x * 24x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + (-24x + 24x2) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + -24x + 24x2 + (-1 * 12xX + x * 12xX) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + -24x + 24x2 + (-12xX + 12x2X) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + (-1 * 12x2 + x * 12x2) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + (-12x2 + 12x3) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + (-1 * 6x2X + x * 6x2X) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + (-6x2X + 6x3X) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + -6x2X + 6x3X + (-1 * 2x3 + x * 2x3) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + -6x2X + 6x3X + (-2x3 + 2x4) + x3X(-1 + x)) = 0 (-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + -6x2X + 6x3X + -2x3 + 2x4 + (-1 * x3X + x * x3X)) = 0 (-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + -6x2X + 6x3X + -2x3 + 2x4 + (-1x3X + x4X)) = 0 Reorder the terms: (-16 + -8X + 16x + -24x + 8xX + -12xX + 24x2 + -12x2 + 12x2X + -6x2X + 12x3 + -2x3 + 6x3X + -1x3X + 2x4 + x4X) = 0 Combine like terms: 16x + -24x = -8x (-16 + -8X + -8x + 8xX + -12xX + 24x2 + -12x2 + 12x2X + -6x2X + 12x3 + -2x3 + 6x3X + -1x3X + 2x4 + x4X) = 0 Combine like terms: 8xX + -12xX = -4xX (-16 + -8X + -8x + -4xX + 24x2 + -12x2 + 12x2X + -6x2X + 12x3 + -2x3 + 6x3X + -1x3X + 2x4 + x4X) = 0 Combine like terms: 24x2 + -12x2 = 12x2 (-16 + -8X + -8x + -4xX + 12x2 + 12x2X + -6x2X + 12x3 + -2x3 + 6x3X + -1x3X + 2x4 + x4X) = 0 Combine like terms: 12x2X + -6x2X = 6x2X (-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 12x3 + -2x3 + 6x3X + -1x3X + 2x4 + x4X) = 0 Combine like terms: 12x3 + -2x3 = 10x3 (-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 6x3X + -1x3X + 2x4 + x4X) = 0 Combine like terms: 6x3X + -1x3X = 5x3X (-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X) = 0 Solving -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + 16 + x4X = 0 + 16 Reorder the terms: -16 + 16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + 16 -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + 16 Combine like terms: 0 + 16 = 16 -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 Add '8x' to each side of the equation. -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + 8x + x4X = 16 + 8x Reorder the terms: -8X + -8x + 8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x Combine like terms: -8x + 8x = 0 -8X + 0 + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x -8X + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x Add '-12x2' to each side of the equation. -8X + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + -12x2 + x4X = 16 + 8x + -12x2 Reorder the terms: -8X + -4xX + 12x2 + -12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 Combine like terms: 12x2 + -12x2 = 0 -8X + -4xX + 0 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 -8X + -4xX + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 Add '-10x3' to each side of the equation. -8X + -4xX + 6x2X + 10x3 + 5x3X + 2x4 + -10x3 + x4X = 16 + 8x + -12x2 + -10x3 Reorder the terms: -8X + -4xX + 6x2X + 10x3 + -10x3 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 + -10x3 Combine like terms: 10x3 + -10x3 = 0 -8X + -4xX + 6x2X + 0 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 + -10x3 -8X + -4xX + 6x2X + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 + -10x3 Add '-2x4' to each side of the equation. -8X + -4xX + 6x2X + 5x3X + 2x4 + -2x4 + x4X = 16 + 8x + -12x2 + -10x3 + -2x4 Combine like terms: 2x4 + -2x4 = 0 -8X + -4xX + 6x2X + 5x3X + 0 + x4X = 16 + 8x + -12x2 + -10x3 + -2x4 -8X + -4xX + 6x2X + 5x3X + x4X = 16 + 8x + -12x2 + -10x3 + -2x4 Reorder the terms: -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 + -10x3 + -2x4 + -16 + -8x + 12x2 + 10x3 + 2x4 Reorder the terms: -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + -16 + 8x + -8x + -12x2 + 12x2 + -10x3 + 10x3 + -2x4 + 2x4 Combine like terms: 16 + -16 = 0 -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + 8x + -8x + -12x2 + 12x2 + -10x3 + 10x3 + -2x4 + 2x4 -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 8x + -8x + -12x2 + 12x2 + -10x3 + 10x3 + -2x4 + 2x4 Combine like terms: 8x + -8x = 0 -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + -12x2 + 12x2 + -10x3 + 10x3 + -2x4 + 2x4 -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = -12x2 + 12x2 + -10x3 + 10x3 + -2x4 + 2x4 Combine like terms: -12x2 + 12x2 = 0 -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + -10x3 + 10x3 + -2x4 + 2x4 -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = -10x3 + 10x3 + -2x4 + 2x4 Combine like terms: -10x3 + 10x3 = 0 -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + -2x4 + 2x4 -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = -2x4 + 2x4 Combine like terms: -2x4 + 2x4 = 0 -16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 The solution to this equation could not be determined.
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