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Simplifying (X + 4)(x + -8)(x + -6) = 0 Reorder the terms: (4 + X)(x + -8)(x + -6) = 0 Reorder the terms: (4 + X)(-8 + x)(x + -6) = 0 Reorder the terms: (4 + X)(-8 + x)(-6 + x) = 0 Multiply (4 + X) * (-8 + x) (4(-8 + x) + X(-8 + x))(-6 + x) = 0 ((-8 * 4 + x * 4) + X(-8 + x))(-6 + x) = 0 ((-32 + 4x) + X(-8 + x))(-6 + x) = 0 (-32 + 4x + (-8 * X + x * X))(-6 + x) = 0 (-32 + 4x + (-8X + xX))(-6 + x) = 0 Reorder the terms: (-32 + -8X + 4x + xX)(-6 + x) = 0 (-32 + -8X + 4x + xX)(-6 + x) = 0 Multiply (-32 + -8X + 4x + xX) * (-6 + x) (-32(-6 + x) + -8X * (-6 + x) + 4x * (-6 + x) + xX(-6 + x)) = 0 ((-6 * -32 + x * -32) + -8X * (-6 + x) + 4x * (-6 + x) + xX(-6 + x)) = 0 ((192 + -32x) + -8X * (-6 + x) + 4x * (-6 + x) + xX(-6 + x)) = 0 (192 + -32x + (-6 * -8X + x * -8X) + 4x * (-6 + x) + xX(-6 + x)) = 0 (192 + -32x + (48X + -8xX) + 4x * (-6 + x) + xX(-6 + x)) = 0 (192 + -32x + 48X + -8xX + (-6 * 4x + x * 4x) + xX(-6 + x)) = 0 (192 + -32x + 48X + -8xX + (-24x + 4x2) + xX(-6 + x)) = 0 (192 + -32x + 48X + -8xX + -24x + 4x2 + (-6 * xX + x * xX)) = 0 (192 + -32x + 48X + -8xX + -24x + 4x2 + (-6xX + x2X)) = 0 Reorder the terms: (192 + 48X + -32x + -24x + -8xX + -6xX + 4x2 + x2X) = 0 Combine like terms: -32x + -24x = -56x (192 + 48X + -56x + -8xX + -6xX + 4x2 + x2X) = 0 Combine like terms: -8xX + -6xX = -14xX (192 + 48X + -56x + -14xX + 4x2 + x2X) = 0 Solving 192 + 48X + -56x + -14xX + 4x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-192' to each side of the equation. 192 + 48X + -56x + -14xX + 4x2 + -192 + x2X = 0 + -192 Reorder the terms: 192 + -192 + 48X + -56x + -14xX + 4x2 + x2X = 0 + -192 Combine like terms: 192 + -192 = 0 0 + 48X + -56x + -14xX + 4x2 + x2X = 0 + -192 48X + -56x + -14xX + 4x2 + x2X = 0 + -192 Combine like terms: 0 + -192 = -192 48X + -56x + -14xX + 4x2 + x2X = -192 Add '56x' to each side of the equation. 48X + -56x + -14xX + 4x2 + 56x + x2X = -192 + 56x Reorder the terms: 48X + -56x + 56x + -14xX + 4x2 + x2X = -192 + 56x Combine like terms: -56x + 56x = 0 48X + 0 + -14xX + 4x2 + x2X = -192 + 56x 48X + -14xX + 4x2 + x2X = -192 + 56x Add '-4x2' to each side of the equation. 48X + -14xX + 4x2 + -4x2 + x2X = -192 + 56x + -4x2 Combine like terms: 4x2 + -4x2 = 0 48X + -14xX + 0 + x2X = -192 + 56x + -4x2 48X + -14xX + x2X = -192 + 56x + -4x2 Reorder the terms: 192 + 48X + -56x + -14xX + 4x2 + x2X = -192 + 56x + -4x2 + 192 + -56x + 4x2 Reorder the terms: 192 + 48X + -56x + -14xX + 4x2 + x2X = -192 + 192 + 56x + -56x + -4x2 + 4x2 Combine like terms: -192 + 192 = 0 192 + 48X + -56x + -14xX + 4x2 + x2X = 0 + 56x + -56x + -4x2 + 4x2 192 + 48X + -56x + -14xX + 4x2 + x2X = 56x + -56x + -4x2 + 4x2 Combine like terms: 56x + -56x = 0 192 + 48X + -56x + -14xX + 4x2 + x2X = 0 + -4x2 + 4x2 192 + 48X + -56x + -14xX + 4x2 + x2X = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 192 + 48X + -56x + -14xX + 4x2 + x2X = 0 The solution to this equation could not be determined.
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