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Simplifying (X + 10)(x + -3)(x + -9) = 0 Reorder the terms: (10 + X)(x + -3)(x + -9) = 0 Reorder the terms: (10 + X)(-3 + x)(x + -9) = 0 Reorder the terms: (10 + X)(-3 + x)(-9 + x) = 0 Multiply (10 + X) * (-3 + x) (10(-3 + x) + X(-3 + x))(-9 + x) = 0 ((-3 * 10 + x * 10) + X(-3 + x))(-9 + x) = 0 ((-30 + 10x) + X(-3 + x))(-9 + x) = 0 (-30 + 10x + (-3 * X + x * X))(-9 + x) = 0 (-30 + 10x + (-3X + xX))(-9 + x) = 0 Reorder the terms: (-30 + -3X + 10x + xX)(-9 + x) = 0 (-30 + -3X + 10x + xX)(-9 + x) = 0 Multiply (-30 + -3X + 10x + xX) * (-9 + x) (-30(-9 + x) + -3X * (-9 + x) + 10x * (-9 + x) + xX(-9 + x)) = 0 ((-9 * -30 + x * -30) + -3X * (-9 + x) + 10x * (-9 + x) + xX(-9 + x)) = 0 ((270 + -30x) + -3X * (-9 + x) + 10x * (-9 + x) + xX(-9 + x)) = 0 (270 + -30x + (-9 * -3X + x * -3X) + 10x * (-9 + x) + xX(-9 + x)) = 0 (270 + -30x + (27X + -3xX) + 10x * (-9 + x) + xX(-9 + x)) = 0 (270 + -30x + 27X + -3xX + (-9 * 10x + x * 10x) + xX(-9 + x)) = 0 (270 + -30x + 27X + -3xX + (-90x + 10x2) + xX(-9 + x)) = 0 (270 + -30x + 27X + -3xX + -90x + 10x2 + (-9 * xX + x * xX)) = 0 (270 + -30x + 27X + -3xX + -90x + 10x2 + (-9xX + x2X)) = 0 Reorder the terms: (270 + 27X + -30x + -90x + -3xX + -9xX + 10x2 + x2X) = 0 Combine like terms: -30x + -90x = -120x (270 + 27X + -120x + -3xX + -9xX + 10x2 + x2X) = 0 Combine like terms: -3xX + -9xX = -12xX (270 + 27X + -120x + -12xX + 10x2 + x2X) = 0 Solving 270 + 27X + -120x + -12xX + 10x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-270' to each side of the equation. 270 + 27X + -120x + -12xX + 10x2 + -270 + x2X = 0 + -270 Reorder the terms: 270 + -270 + 27X + -120x + -12xX + 10x2 + x2X = 0 + -270 Combine like terms: 270 + -270 = 0 0 + 27X + -120x + -12xX + 10x2 + x2X = 0 + -270 27X + -120x + -12xX + 10x2 + x2X = 0 + -270 Combine like terms: 0 + -270 = -270 27X + -120x + -12xX + 10x2 + x2X = -270 Add '120x' to each side of the equation. 27X + -120x + -12xX + 10x2 + 120x + x2X = -270 + 120x Reorder the terms: 27X + -120x + 120x + -12xX + 10x2 + x2X = -270 + 120x Combine like terms: -120x + 120x = 0 27X + 0 + -12xX + 10x2 + x2X = -270 + 120x 27X + -12xX + 10x2 + x2X = -270 + 120x Add '-10x2' to each side of the equation. 27X + -12xX + 10x2 + -10x2 + x2X = -270 + 120x + -10x2 Combine like terms: 10x2 + -10x2 = 0 27X + -12xX + 0 + x2X = -270 + 120x + -10x2 27X + -12xX + x2X = -270 + 120x + -10x2 Reorder the terms: 270 + 27X + -120x + -12xX + 10x2 + x2X = -270 + 120x + -10x2 + 270 + -120x + 10x2 Reorder the terms: 270 + 27X + -120x + -12xX + 10x2 + x2X = -270 + 270 + 120x + -120x + -10x2 + 10x2 Combine like terms: -270 + 270 = 0 270 + 27X + -120x + -12xX + 10x2 + x2X = 0 + 120x + -120x + -10x2 + 10x2 270 + 27X + -120x + -12xX + 10x2 + x2X = 120x + -120x + -10x2 + 10x2 Combine like terms: 120x + -120x = 0 270 + 27X + -120x + -12xX + 10x2 + x2X = 0 + -10x2 + 10x2 270 + 27X + -120x + -12xX + 10x2 + x2X = -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 270 + 27X + -120x + -12xX + 10x2 + x2X = 0 The solution to this equation could not be determined.
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