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Simplifying (X + 7)(x + -7)(x + 49) = 0 Reorder the terms: (7 + X)(x + -7)(x + 49) = 0 Reorder the terms: (7 + X)(-7 + x)(x + 49) = 0 Reorder the terms: (7 + X)(-7 + x)(49 + x) = 0 Multiply (7 + X) * (-7 + x) (7(-7 + x) + X(-7 + x))(49 + x) = 0 ((-7 * 7 + x * 7) + X(-7 + x))(49 + x) = 0 ((-49 + 7x) + X(-7 + x))(49 + x) = 0 (-49 + 7x + (-7 * X + x * X))(49 + x) = 0 (-49 + 7x + (-7X + xX))(49 + x) = 0 Reorder the terms: (-49 + -7X + 7x + xX)(49 + x) = 0 (-49 + -7X + 7x + xX)(49 + x) = 0 Multiply (-49 + -7X + 7x + xX) * (49 + x) (-49(49 + x) + -7X * (49 + x) + 7x * (49 + x) + xX(49 + x)) = 0 ((49 * -49 + x * -49) + -7X * (49 + x) + 7x * (49 + x) + xX(49 + x)) = 0 ((-2401 + -49x) + -7X * (49 + x) + 7x * (49 + x) + xX(49 + x)) = 0 (-2401 + -49x + (49 * -7X + x * -7X) + 7x * (49 + x) + xX(49 + x)) = 0 (-2401 + -49x + (-343X + -7xX) + 7x * (49 + x) + xX(49 + x)) = 0 (-2401 + -49x + -343X + -7xX + (49 * 7x + x * 7x) + xX(49 + x)) = 0 (-2401 + -49x + -343X + -7xX + (343x + 7x2) + xX(49 + x)) = 0 (-2401 + -49x + -343X + -7xX + 343x + 7x2 + (49 * xX + x * xX)) = 0 (-2401 + -49x + -343X + -7xX + 343x + 7x2 + (49xX + x2X)) = 0 Reorder the terms: (-2401 + -343X + -49x + 343x + -7xX + 49xX + 7x2 + x2X) = 0 Combine like terms: -49x + 343x = 294x (-2401 + -343X + 294x + -7xX + 49xX + 7x2 + x2X) = 0 Combine like terms: -7xX + 49xX = 42xX (-2401 + -343X + 294x + 42xX + 7x2 + x2X) = 0 Solving -2401 + -343X + 294x + 42xX + 7x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2401' to each side of the equation. -2401 + -343X + 294x + 42xX + 7x2 + 2401 + x2X = 0 + 2401 Reorder the terms: -2401 + 2401 + -343X + 294x + 42xX + 7x2 + x2X = 0 + 2401 Combine like terms: -2401 + 2401 = 0 0 + -343X + 294x + 42xX + 7x2 + x2X = 0 + 2401 -343X + 294x + 42xX + 7x2 + x2X = 0 + 2401 Combine like terms: 0 + 2401 = 2401 -343X + 294x + 42xX + 7x2 + x2X = 2401 Add '-294x' to each side of the equation. -343X + 294x + 42xX + 7x2 + -294x + x2X = 2401 + -294x Reorder the terms: -343X + 294x + -294x + 42xX + 7x2 + x2X = 2401 + -294x Combine like terms: 294x + -294x = 0 -343X + 0 + 42xX + 7x2 + x2X = 2401 + -294x -343X + 42xX + 7x2 + x2X = 2401 + -294x Add '-7x2' to each side of the equation. -343X + 42xX + 7x2 + -7x2 + x2X = 2401 + -294x + -7x2 Combine like terms: 7x2 + -7x2 = 0 -343X + 42xX + 0 + x2X = 2401 + -294x + -7x2 -343X + 42xX + x2X = 2401 + -294x + -7x2 Reorder the terms: -2401 + -343X + 294x + 42xX + 7x2 + x2X = 2401 + -294x + -7x2 + -2401 + 294x + 7x2 Reorder the terms: -2401 + -343X + 294x + 42xX + 7x2 + x2X = 2401 + -2401 + -294x + 294x + -7x2 + 7x2 Combine like terms: 2401 + -2401 = 0 -2401 + -343X + 294x + 42xX + 7x2 + x2X = 0 + -294x + 294x + -7x2 + 7x2 -2401 + -343X + 294x + 42xX + 7x2 + x2X = -294x + 294x + -7x2 + 7x2 Combine like terms: -294x + 294x = 0 -2401 + -343X + 294x + 42xX + 7x2 + x2X = 0 + -7x2 + 7x2 -2401 + -343X + 294x + 42xX + 7x2 + x2X = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -2401 + -343X + 294x + 42xX + 7x2 + x2X = 0 The solution to this equation could not be determined.
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