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Simplifying (x + 9)(2x + 5)(X + 8) = 0 Reorder the terms: (9 + x)(2x + 5)(X + 8) = 0 Reorder the terms: (9 + x)(5 + 2x)(X + 8) = 0 Reorder the terms: (9 + x)(5 + 2x)(8 + X) = 0 Multiply (9 + x) * (5 + 2x) (9(5 + 2x) + x(5 + 2x))(8 + X) = 0 ((5 * 9 + 2x * 9) + x(5 + 2x))(8 + X) = 0 ((45 + 18x) + x(5 + 2x))(8 + X) = 0 (45 + 18x + (5 * x + 2x * x))(8 + X) = 0 (45 + 18x + (5x + 2x2))(8 + X) = 0 Combine like terms: 18x + 5x = 23x (45 + 23x + 2x2)(8 + X) = 0 Multiply (45 + 23x + 2x2) * (8 + X) (45(8 + X) + 23x * (8 + X) + 2x2 * (8 + X)) = 0 ((8 * 45 + X * 45) + 23x * (8 + X) + 2x2 * (8 + X)) = 0 ((360 + 45X) + 23x * (8 + X) + 2x2 * (8 + X)) = 0 (360 + 45X + (8 * 23x + X * 23x) + 2x2 * (8 + X)) = 0 (360 + 45X + (184x + 23xX) + 2x2 * (8 + X)) = 0 (360 + 45X + 184x + 23xX + (8 * 2x2 + X * 2x2)) = 0 (360 + 45X + 184x + 23xX + (16x2 + 2x2X)) = 0 (360 + 45X + 184x + 23xX + 16x2 + 2x2X) = 0 Solving 360 + 45X + 184x + 23xX + 16x2 + 2x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-360' to each side of the equation. 360 + 45X + 184x + 23xX + 16x2 + -360 + 2x2X = 0 + -360 Reorder the terms: 360 + -360 + 45X + 184x + 23xX + 16x2 + 2x2X = 0 + -360 Combine like terms: 360 + -360 = 0 0 + 45X + 184x + 23xX + 16x2 + 2x2X = 0 + -360 45X + 184x + 23xX + 16x2 + 2x2X = 0 + -360 Combine like terms: 0 + -360 = -360 45X + 184x + 23xX + 16x2 + 2x2X = -360 Add '-184x' to each side of the equation. 45X + 184x + 23xX + 16x2 + -184x + 2x2X = -360 + -184x Reorder the terms: 45X + 184x + -184x + 23xX + 16x2 + 2x2X = -360 + -184x Combine like terms: 184x + -184x = 0 45X + 0 + 23xX + 16x2 + 2x2X = -360 + -184x 45X + 23xX + 16x2 + 2x2X = -360 + -184x Add '-16x2' to each side of the equation. 45X + 23xX + 16x2 + -16x2 + 2x2X = -360 + -184x + -16x2 Combine like terms: 16x2 + -16x2 = 0 45X + 23xX + 0 + 2x2X = -360 + -184x + -16x2 45X + 23xX + 2x2X = -360 + -184x + -16x2 Reorder the terms: 360 + 45X + 184x + 23xX + 16x2 + 2x2X = -360 + -184x + -16x2 + 360 + 184x + 16x2 Reorder the terms: 360 + 45X + 184x + 23xX + 16x2 + 2x2X = -360 + 360 + -184x + 184x + -16x2 + 16x2 Combine like terms: -360 + 360 = 0 360 + 45X + 184x + 23xX + 16x2 + 2x2X = 0 + -184x + 184x + -16x2 + 16x2 360 + 45X + 184x + 23xX + 16x2 + 2x2X = -184x + 184x + -16x2 + 16x2 Combine like terms: -184x + 184x = 0 360 + 45X + 184x + 23xX + 16x2 + 2x2X = 0 + -16x2 + 16x2 360 + 45X + 184x + 23xX + 16x2 + 2x2X = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 360 + 45X + 184x + 23xX + 16x2 + 2x2X = 0 The solution to this equation could not be determined.
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