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Simplifying 0.5(X + -2)(x + -2)(x + -2)(x + -2) = 0 Reorder the terms: 0.5(-2 + X)(x + -2)(x + -2)(x + -2) = 0 Reorder the terms: 0.5(-2 + X)(-2 + x)(x + -2)(x + -2) = 0 Reorder the terms: 0.5(-2 + X)(-2 + x)(-2 + x)(x + -2) = 0 Reorder the terms: 0.5(-2 + X)(-2 + x)(-2 + x)(-2 + x) = 0 Multiply (-2 + X) * (-2 + x) 0.5(-2(-2 + x) + X(-2 + x))(-2 + x)(-2 + x) = 0 0.5((-2 * -2 + x * -2) + X(-2 + x))(-2 + x)(-2 + x) = 0 0.5((4 + -2x) + X(-2 + x))(-2 + x)(-2 + x) = 0 0.5(4 + -2x + (-2 * X + x * X))(-2 + x)(-2 + x) = 0 0.5(4 + -2x + (-2X + xX))(-2 + x)(-2 + x) = 0 Reorder the terms: 0.5(4 + -2X + -2x + xX)(-2 + x)(-2 + x) = 0 0.5(4 + -2X + -2x + xX)(-2 + x)(-2 + x) = 0 Multiply (4 + -2X + -2x + xX) * (-2 + x) 0.5(4(-2 + x) + -2X * (-2 + x) + -2x * (-2 + x) + xX(-2 + x))(-2 + x) = 0 0.5((-2 * 4 + x * 4) + -2X * (-2 + x) + -2x * (-2 + x) + xX(-2 + x))(-2 + x) = 0 0.5((-8 + 4x) + -2X * (-2 + x) + -2x * (-2 + x) + xX(-2 + x))(-2 + x) = 0 0.5(-8 + 4x + (-2 * -2X + x * -2X) + -2x * (-2 + x) + xX(-2 + x))(-2 + x) = 0 0.5(-8 + 4x + (4X + -2xX) + -2x * (-2 + x) + xX(-2 + x))(-2 + x) = 0 0.5(-8 + 4x + 4X + -2xX + (-2 * -2x + x * -2x) + xX(-2 + x))(-2 + x) = 0 0.5(-8 + 4x + 4X + -2xX + (4x + -2x2) + xX(-2 + x))(-2 + x) = 0 0.5(-8 + 4x + 4X + -2xX + 4x + -2x2 + (-2 * xX + x * xX))(-2 + x) = 0 0.5(-8 + 4x + 4X + -2xX + 4x + -2x2 + (-2xX + x2X))(-2 + x) = 0 Reorder the terms: 0.5(-8 + 4X + 4x + 4x + -2xX + -2xX + -2x2 + x2X)(-2 + x) = 0 Combine like terms: 4x + 4x = 8x 0.5(-8 + 4X + 8x + -2xX + -2xX + -2x2 + x2X)(-2 + x) = 0 Combine like terms: -2xX + -2xX = -4xX 0.5(-8 + 4X + 8x + -4xX + -2x2 + x2X)(-2 + x) = 0 Multiply (-8 + 4X + 8x + -4xX + -2x2 + x2X) * (-2 + x) 0.5(-8(-2 + x) + 4X * (-2 + x) + 8x * (-2 + x) + -4xX * (-2 + x) + -2x2 * (-2 + x) + x2X(-2 + x)) = 0 0.5((-2 * -8 + x * -8) + 4X * (-2 + x) + 8x * (-2 + x) + -4xX * (-2 + x) + -2x2 * (-2 + x) + x2X(-2 + x)) = 0 0.5((16 + -8x) + 4X * (-2 + x) + 8x * (-2 + x) + -4xX * (-2 + x) + -2x2 * (-2 + x) + x2X(-2 + x)) = 0 0.5(16 + -8x + (-2 * 4X + x * 4X) + 8x * (-2 + x) + -4xX * (-2 + x) + -2x2 * (-2 + x) + x2X(-2 + x)) = 0 0.5(16 + -8x + (-8X + 4xX) + 8x * (-2 + x) + -4xX * (-2 + x) + -2x2 * (-2 + x) + x2X(-2 + x)) = 0 0.5(16 + -8x + -8X + 4xX + (-2 * 8x + x * 8x) + -4xX * (-2 + x) + -2x2 * (-2 + x) + x2X(-2 + x)) = 0 0.5(16 + -8x + -8X + 4xX + (-16x + 8x2) + -4xX * (-2 + x) + -2x2 * (-2 + x) + x2X(-2 + x)) = 0 0.5(16 + -8x + -8X + 4xX + -16x + 8x2 + (-2 * -4xX + x * -4xX) + -2x2 * (-2 + x) + x2X(-2 + x)) = 0 0.5(16 + -8x + -8X + 4xX + -16x + 8x2 + (8xX + -4x2X) + -2x2 * (-2 + x) + x2X(-2 + x)) = 0 0.5(16 + -8x + -8X + 4xX + -16x + 8x2 + 8xX + -4x2X + (-2 * -2x2 + x * -2x2) + x2X(-2 + x)) = 0 0.5(16 + -8x + -8X + 4xX + -16x + 8x2 + 8xX + -4x2X + (4x2 + -2x3) + x2X(-2 + x)) = 0 0.5(16 + -8x + -8X + 4xX + -16x + 8x2 + 8xX + -4x2X + 4x2 + -2x3 + (-2 * x2X + x * x2X)) = 0 0.5(16 + -8x + -8X + 4xX + -16x + 8x2 + 8xX + -4x2X + 4x2 + -2x3 + (-2x2X + x3X)) = 0 Reorder the terms: 0.5(16 + -8X + -8x + -16x + 4xX + 8xX + 8x2 + 4x2 + -4x2X + -2x2X + -2x3 + x3X) = 0 Combine like terms: -8x + -16x = -24x 0.5(16 + -8X + -24x + 4xX + 8xX + 8x2 + 4x2 + -4x2X + -2x2X + -2x3 + x3X) = 0 Combine like terms: 4xX + 8xX = 12xX 0.5(16 + -8X + -24x + 12xX + 8x2 + 4x2 + -4x2X + -2x2X + -2x3 + x3X) = 0 Combine like terms: 8x2 + 4x2 = 12x2 0.5(16 + -8X + -24x + 12xX + 12x2 + -4x2X + -2x2X + -2x3 + x3X) = 0 Combine like terms: -4x2X + -2x2X = -6x2X 0.5(16 + -8X + -24x + 12xX + 12x2 + -6x2X + -2x3 + x3X) = 0 (16 * 0.5 + -8X * 0.5 + -24x * 0.5 + 12xX * 0.5 + 12x2 * 0.5 + -6x2X * 0.5 + -2x3 * 0.5 + x3X * 0.5) = 0 (8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X) = 0 Solving 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + -8 + 0.5x3X = 0 + -8 Reorder the terms: 8 + -8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = 0 + -8 -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = 0 + -8 Combine like terms: 0 + -8 = -8 -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = -8 Add '12x' to each side of the equation. -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 12x + 0.5x3X = -8 + 12x Reorder the terms: -4X + -12x + 12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = -8 + 12x Combine like terms: -12x + 12x = 0 -4X + 0 + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = -8 + 12x -4X + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = -8 + 12x Add '-6x2' to each side of the equation. -4X + 6xX + 6x2 + -3x2X + -1x3 + -6x2 + 0.5x3X = -8 + 12x + -6x2 Reorder the terms: -4X + 6xX + 6x2 + -6x2 + -3x2X + -1x3 + 0.5x3X = -8 + 12x + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4X + 6xX + 0 + -3x2X + -1x3 + 0.5x3X = -8 + 12x + -6x2 -4X + 6xX + -3x2X + -1x3 + 0.5x3X = -8 + 12x + -6x2 Add 'x3' to each side of the equation. -4X + 6xX + -3x2X + -1x3 + x3 + 0.5x3X = -8 + 12x + -6x2 + x3 Combine like terms: -1x3 + x3 = 0 -4X + 6xX + -3x2X + 0 + 0.5x3X = -8 + 12x + -6x2 + x3 -4X + 6xX + -3x2X + 0.5x3X = -8 + 12x + -6x2 + x3 Reorder the terms: 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = -8 + 12x + -6x2 + x3 + 8 + -12x + 6x2 + -1x3 Reorder the terms: 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = -8 + 8 + 12x + -12x + -6x2 + 6x2 + x3 + -1x3 Combine like terms: -8 + 8 = 0 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = 0 + 12x + -12x + -6x2 + 6x2 + x3 + -1x3 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = 12x + -12x + -6x2 + 6x2 + x3 + -1x3 Combine like terms: 12x + -12x = 0 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = 0 + -6x2 + 6x2 + x3 + -1x3 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = -6x2 + 6x2 + x3 + -1x3 Combine like terms: -6x2 + 6x2 = 0 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = 0 + x3 + -1x3 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 8 + -4X + -12x + 6xX + 6x2 + -3x2X + -1x3 + 0.5x3X = 0 The solution to this equation could not be determined.
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