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Simplifying (X + -10)(x + -8)(x + -6) = 105 Reorder the terms: (-10 + X)(x + -8)(x + -6) = 105 Reorder the terms: (-10 + X)(-8 + x)(x + -6) = 105 Reorder the terms: (-10 + X)(-8 + x)(-6 + x) = 105 Multiply (-10 + X) * (-8 + x) (-10(-8 + x) + X(-8 + x))(-6 + x) = 105 ((-8 * -10 + x * -10) + X(-8 + x))(-6 + x) = 105 ((80 + -10x) + X(-8 + x))(-6 + x) = 105 (80 + -10x + (-8 * X + x * X))(-6 + x) = 105 (80 + -10x + (-8X + xX))(-6 + x) = 105 Reorder the terms: (80 + -8X + -10x + xX)(-6 + x) = 105 (80 + -8X + -10x + xX)(-6 + x) = 105 Multiply (80 + -8X + -10x + xX) * (-6 + x) (80(-6 + x) + -8X * (-6 + x) + -10x * (-6 + x) + xX(-6 + x)) = 105 ((-6 * 80 + x * 80) + -8X * (-6 + x) + -10x * (-6 + x) + xX(-6 + x)) = 105 ((-480 + 80x) + -8X * (-6 + x) + -10x * (-6 + x) + xX(-6 + x)) = 105 (-480 + 80x + (-6 * -8X + x * -8X) + -10x * (-6 + x) + xX(-6 + x)) = 105 (-480 + 80x + (48X + -8xX) + -10x * (-6 + x) + xX(-6 + x)) = 105 (-480 + 80x + 48X + -8xX + (-6 * -10x + x * -10x) + xX(-6 + x)) = 105 (-480 + 80x + 48X + -8xX + (60x + -10x2) + xX(-6 + x)) = 105 (-480 + 80x + 48X + -8xX + 60x + -10x2 + (-6 * xX + x * xX)) = 105 (-480 + 80x + 48X + -8xX + 60x + -10x2 + (-6xX + x2X)) = 105 Reorder the terms: (-480 + 48X + 80x + 60x + -8xX + -6xX + -10x2 + x2X) = 105 Combine like terms: 80x + 60x = 140x (-480 + 48X + 140x + -8xX + -6xX + -10x2 + x2X) = 105 Combine like terms: -8xX + -6xX = -14xX (-480 + 48X + 140x + -14xX + -10x2 + x2X) = 105 Solving -480 + 48X + 140x + -14xX + -10x2 + x2X = 105 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '480' to each side of the equation. -480 + 48X + 140x + -14xX + -10x2 + 480 + x2X = 105 + 480 Reorder the terms: -480 + 480 + 48X + 140x + -14xX + -10x2 + x2X = 105 + 480 Combine like terms: -480 + 480 = 0 0 + 48X + 140x + -14xX + -10x2 + x2X = 105 + 480 48X + 140x + -14xX + -10x2 + x2X = 105 + 480 Combine like terms: 105 + 480 = 585 48X + 140x + -14xX + -10x2 + x2X = 585 Add '-140x' to each side of the equation. 48X + 140x + -14xX + -10x2 + -140x + x2X = 585 + -140x Reorder the terms: 48X + 140x + -140x + -14xX + -10x2 + x2X = 585 + -140x Combine like terms: 140x + -140x = 0 48X + 0 + -14xX + -10x2 + x2X = 585 + -140x 48X + -14xX + -10x2 + x2X = 585 + -140x Add '10x2' to each side of the equation. 48X + -14xX + -10x2 + 10x2 + x2X = 585 + -140x + 10x2 Combine like terms: -10x2 + 10x2 = 0 48X + -14xX + 0 + x2X = 585 + -140x + 10x2 48X + -14xX + x2X = 585 + -140x + 10x2 Reorder the terms: -585 + 48X + 140x + -14xX + -10x2 + x2X = 585 + -140x + 10x2 + -585 + 140x + -10x2 Reorder the terms: -585 + 48X + 140x + -14xX + -10x2 + x2X = 585 + -585 + -140x + 140x + 10x2 + -10x2 Combine like terms: 585 + -585 = 0 -585 + 48X + 140x + -14xX + -10x2 + x2X = 0 + -140x + 140x + 10x2 + -10x2 -585 + 48X + 140x + -14xX + -10x2 + x2X = -140x + 140x + 10x2 + -10x2 Combine like terms: -140x + 140x = 0 -585 + 48X + 140x + -14xX + -10x2 + x2X = 0 + 10x2 + -10x2 -585 + 48X + 140x + -14xX + -10x2 + x2X = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -585 + 48X + 140x + -14xX + -10x2 + x2X = 0 The solution to this equation could not be determined.
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