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Simplifying (X + 7x + 12)(x2 + 3x + 5) = 0 Reorder the terms: (12 + X + 7x)(x2 + 3x + 5) = 0 Reorder the terms: (12 + X + 7x)(5 + 3x + x2) = 0 Multiply (12 + X + 7x) * (5 + 3x + x2) (12(5 + 3x + x2) + X(5 + 3x + x2) + 7x * (5 + 3x + x2)) = 0 ((5 * 12 + 3x * 12 + x2 * 12) + X(5 + 3x + x2) + 7x * (5 + 3x + x2)) = 0 ((60 + 36x + 12x2) + X(5 + 3x + x2) + 7x * (5 + 3x + x2)) = 0 (60 + 36x + 12x2 + (5 * X + 3x * X + x2 * X) + 7x * (5 + 3x + x2)) = 0 (60 + 36x + 12x2 + (5X + 3xX + x2X) + 7x * (5 + 3x + x2)) = 0 (60 + 36x + 12x2 + 5X + 3xX + x2X + (5 * 7x + 3x * 7x + x2 * 7x)) = 0 (60 + 36x + 12x2 + 5X + 3xX + x2X + (35x + 21x2 + 7x3)) = 0 Reorder the terms: (60 + 5X + 36x + 35x + 3xX + 12x2 + 21x2 + x2X + 7x3) = 0 Combine like terms: 36x + 35x = 71x (60 + 5X + 71x + 3xX + 12x2 + 21x2 + x2X + 7x3) = 0 Combine like terms: 12x2 + 21x2 = 33x2 (60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3) = 0 Solving 60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + 5X + 71x + 3xX + 33x2 + x2X + -60 + 7x3 = 0 + -60 Reorder the terms: 60 + -60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = 0 + -60 5X + 71x + 3xX + 33x2 + x2X + 7x3 = 0 + -60 Combine like terms: 0 + -60 = -60 5X + 71x + 3xX + 33x2 + x2X + 7x3 = -60 Add '-71x' to each side of the equation. 5X + 71x + 3xX + 33x2 + x2X + -71x + 7x3 = -60 + -71x Reorder the terms: 5X + 71x + -71x + 3xX + 33x2 + x2X + 7x3 = -60 + -71x Combine like terms: 71x + -71x = 0 5X + 0 + 3xX + 33x2 + x2X + 7x3 = -60 + -71x 5X + 3xX + 33x2 + x2X + 7x3 = -60 + -71x Add '-33x2' to each side of the equation. 5X + 3xX + 33x2 + x2X + -33x2 + 7x3 = -60 + -71x + -33x2 Reorder the terms: 5X + 3xX + 33x2 + -33x2 + x2X + 7x3 = -60 + -71x + -33x2 Combine like terms: 33x2 + -33x2 = 0 5X + 3xX + 0 + x2X + 7x3 = -60 + -71x + -33x2 5X + 3xX + x2X + 7x3 = -60 + -71x + -33x2 Add '-7x3' to each side of the equation. 5X + 3xX + x2X + 7x3 + -7x3 = -60 + -71x + -33x2 + -7x3 Combine like terms: 7x3 + -7x3 = 0 5X + 3xX + x2X + 0 = -60 + -71x + -33x2 + -7x3 5X + 3xX + x2X = -60 + -71x + -33x2 + -7x3 Reorder the terms: 60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = -60 + -71x + -33x2 + -7x3 + 60 + 71x + 33x2 + 7x3 Reorder the terms: 60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = -60 + 60 + -71x + 71x + -33x2 + 33x2 + -7x3 + 7x3 Combine like terms: -60 + 60 = 0 60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = 0 + -71x + 71x + -33x2 + 33x2 + -7x3 + 7x3 60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = -71x + 71x + -33x2 + 33x2 + -7x3 + 7x3 Combine like terms: -71x + 71x = 0 60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = 0 + -33x2 + 33x2 + -7x3 + 7x3 60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = -33x2 + 33x2 + -7x3 + 7x3 Combine like terms: -33x2 + 33x2 = 0 60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = 0 + -7x3 + 7x3 60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = -7x3 + 7x3 Combine like terms: -7x3 + 7x3 = 0 60 + 5X + 71x + 3xX + 33x2 + x2X + 7x3 = 0 The solution to this equation could not be determined.
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