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Simplifying (X + 3)(3x + 1)(x + -5) = 0 Reorder the terms: (3 + X)(3x + 1)(x + -5) = 0 Reorder the terms: (3 + X)(1 + 3x)(x + -5) = 0 Reorder the terms: (3 + X)(1 + 3x)(-5 + x) = 0 Multiply (3 + X) * (1 + 3x) (3(1 + 3x) + X(1 + 3x))(-5 + x) = 0 ((1 * 3 + 3x * 3) + X(1 + 3x))(-5 + x) = 0 ((3 + 9x) + X(1 + 3x))(-5 + x) = 0 (3 + 9x + (1 * X + 3x * X))(-5 + x) = 0 (3 + 9x + (1X + 3xX))(-5 + x) = 0 Reorder the terms: (3 + 1X + 9x + 3xX)(-5 + x) = 0 (3 + 1X + 9x + 3xX)(-5 + x) = 0 Multiply (3 + 1X + 9x + 3xX) * (-5 + x) (3(-5 + x) + 1X * (-5 + x) + 9x * (-5 + x) + 3xX * (-5 + x)) = 0 ((-5 * 3 + x * 3) + 1X * (-5 + x) + 9x * (-5 + x) + 3xX * (-5 + x)) = 0 ((-15 + 3x) + 1X * (-5 + x) + 9x * (-5 + x) + 3xX * (-5 + x)) = 0 (-15 + 3x + (-5 * 1X + x * 1X) + 9x * (-5 + x) + 3xX * (-5 + x)) = 0 (-15 + 3x + (-5X + 1xX) + 9x * (-5 + x) + 3xX * (-5 + x)) = 0 (-15 + 3x + -5X + 1xX + (-5 * 9x + x * 9x) + 3xX * (-5 + x)) = 0 (-15 + 3x + -5X + 1xX + (-45x + 9x2) + 3xX * (-5 + x)) = 0 (-15 + 3x + -5X + 1xX + -45x + 9x2 + (-5 * 3xX + x * 3xX)) = 0 (-15 + 3x + -5X + 1xX + -45x + 9x2 + (-15xX + 3x2X)) = 0 Reorder the terms: (-15 + -5X + 3x + -45x + 1xX + -15xX + 9x2 + 3x2X) = 0 Combine like terms: 3x + -45x = -42x (-15 + -5X + -42x + 1xX + -15xX + 9x2 + 3x2X) = 0 Combine like terms: 1xX + -15xX = -14xX (-15 + -5X + -42x + -14xX + 9x2 + 3x2X) = 0 Solving -15 + -5X + -42x + -14xX + 9x2 + 3x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -5X + -42x + -14xX + 9x2 + 15 + 3x2X = 0 + 15 Reorder the terms: -15 + 15 + -5X + -42x + -14xX + 9x2 + 3x2X = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5X + -42x + -14xX + 9x2 + 3x2X = 0 + 15 -5X + -42x + -14xX + 9x2 + 3x2X = 0 + 15 Combine like terms: 0 + 15 = 15 -5X + -42x + -14xX + 9x2 + 3x2X = 15 Add '42x' to each side of the equation. -5X + -42x + -14xX + 9x2 + 42x + 3x2X = 15 + 42x Reorder the terms: -5X + -42x + 42x + -14xX + 9x2 + 3x2X = 15 + 42x Combine like terms: -42x + 42x = 0 -5X + 0 + -14xX + 9x2 + 3x2X = 15 + 42x -5X + -14xX + 9x2 + 3x2X = 15 + 42x Add '-9x2' to each side of the equation. -5X + -14xX + 9x2 + -9x2 + 3x2X = 15 + 42x + -9x2 Combine like terms: 9x2 + -9x2 = 0 -5X + -14xX + 0 + 3x2X = 15 + 42x + -9x2 -5X + -14xX + 3x2X = 15 + 42x + -9x2 Reorder the terms: -15 + -5X + -42x + -14xX + 9x2 + 3x2X = 15 + 42x + -9x2 + -15 + -42x + 9x2 Reorder the terms: -15 + -5X + -42x + -14xX + 9x2 + 3x2X = 15 + -15 + 42x + -42x + -9x2 + 9x2 Combine like terms: 15 + -15 = 0 -15 + -5X + -42x + -14xX + 9x2 + 3x2X = 0 + 42x + -42x + -9x2 + 9x2 -15 + -5X + -42x + -14xX + 9x2 + 3x2X = 42x + -42x + -9x2 + 9x2 Combine like terms: 42x + -42x = 0 -15 + -5X + -42x + -14xX + 9x2 + 3x2X = 0 + -9x2 + 9x2 -15 + -5X + -42x + -14xX + 9x2 + 3x2X = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 -15 + -5X + -42x + -14xX + 9x2 + 3x2X = 0 The solution to this equation could not be determined.
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