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Simplifying (X + -2)(x + 8)(x + 9) = 0 Reorder the terms: (-2 + X)(x + 8)(x + 9) = 0 Reorder the terms: (-2 + X)(8 + x)(x + 9) = 0 Reorder the terms: (-2 + X)(8 + x)(9 + x) = 0 Multiply (-2 + X) * (8 + x) (-2(8 + x) + X(8 + x))(9 + x) = 0 ((8 * -2 + x * -2) + X(8 + x))(9 + x) = 0 ((-16 + -2x) + X(8 + x))(9 + x) = 0 (-16 + -2x + (8 * X + x * X))(9 + x) = 0 (-16 + -2x + (8X + xX))(9 + x) = 0 Reorder the terms: (-16 + 8X + -2x + xX)(9 + x) = 0 (-16 + 8X + -2x + xX)(9 + x) = 0 Multiply (-16 + 8X + -2x + xX) * (9 + x) (-16(9 + x) + 8X * (9 + x) + -2x * (9 + x) + xX(9 + x)) = 0 ((9 * -16 + x * -16) + 8X * (9 + x) + -2x * (9 + x) + xX(9 + x)) = 0 ((-144 + -16x) + 8X * (9 + x) + -2x * (9 + x) + xX(9 + x)) = 0 (-144 + -16x + (9 * 8X + x * 8X) + -2x * (9 + x) + xX(9 + x)) = 0 (-144 + -16x + (72X + 8xX) + -2x * (9 + x) + xX(9 + x)) = 0 (-144 + -16x + 72X + 8xX + (9 * -2x + x * -2x) + xX(9 + x)) = 0 (-144 + -16x + 72X + 8xX + (-18x + -2x2) + xX(9 + x)) = 0 (-144 + -16x + 72X + 8xX + -18x + -2x2 + (9 * xX + x * xX)) = 0 (-144 + -16x + 72X + 8xX + -18x + -2x2 + (9xX + x2X)) = 0 Reorder the terms: (-144 + 72X + -16x + -18x + 8xX + 9xX + -2x2 + x2X) = 0 Combine like terms: -16x + -18x = -34x (-144 + 72X + -34x + 8xX + 9xX + -2x2 + x2X) = 0 Combine like terms: 8xX + 9xX = 17xX (-144 + 72X + -34x + 17xX + -2x2 + x2X) = 0 Solving -144 + 72X + -34x + 17xX + -2x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 72X + -34x + 17xX + -2x2 + 144 + x2X = 0 + 144 Reorder the terms: -144 + 144 + 72X + -34x + 17xX + -2x2 + x2X = 0 + 144 Combine like terms: -144 + 144 = 0 0 + 72X + -34x + 17xX + -2x2 + x2X = 0 + 144 72X + -34x + 17xX + -2x2 + x2X = 0 + 144 Combine like terms: 0 + 144 = 144 72X + -34x + 17xX + -2x2 + x2X = 144 Add '34x' to each side of the equation. 72X + -34x + 17xX + -2x2 + 34x + x2X = 144 + 34x Reorder the terms: 72X + -34x + 34x + 17xX + -2x2 + x2X = 144 + 34x Combine like terms: -34x + 34x = 0 72X + 0 + 17xX + -2x2 + x2X = 144 + 34x 72X + 17xX + -2x2 + x2X = 144 + 34x Add '2x2' to each side of the equation. 72X + 17xX + -2x2 + 2x2 + x2X = 144 + 34x + 2x2 Combine like terms: -2x2 + 2x2 = 0 72X + 17xX + 0 + x2X = 144 + 34x + 2x2 72X + 17xX + x2X = 144 + 34x + 2x2 Reorder the terms: -144 + 72X + -34x + 17xX + -2x2 + x2X = 144 + 34x + 2x2 + -144 + -34x + -2x2 Reorder the terms: -144 + 72X + -34x + 17xX + -2x2 + x2X = 144 + -144 + 34x + -34x + 2x2 + -2x2 Combine like terms: 144 + -144 = 0 -144 + 72X + -34x + 17xX + -2x2 + x2X = 0 + 34x + -34x + 2x2 + -2x2 -144 + 72X + -34x + 17xX + -2x2 + x2X = 34x + -34x + 2x2 + -2x2 Combine like terms: 34x + -34x = 0 -144 + 72X + -34x + 17xX + -2x2 + x2X = 0 + 2x2 + -2x2 -144 + 72X + -34x + 17xX + -2x2 + x2X = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -144 + 72X + -34x + 17xX + -2x2 + x2X = 0 The solution to this equation could not be determined.
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