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Simplifying (X + -8)(x2 + -9x + 18) = 0 Reorder the terms: (-8 + X)(x2 + -9x + 18) = 0 Reorder the terms: (-8 + X)(18 + -9x + x2) = 0 Multiply (-8 + X) * (18 + -9x + x2) (-8(18 + -9x + x2) + X(18 + -9x + x2)) = 0 ((18 * -8 + -9x * -8 + x2 * -8) + X(18 + -9x + x2)) = 0 ((-144 + 72x + -8x2) + X(18 + -9x + x2)) = 0 (-144 + 72x + -8x2 + (18 * X + -9x * X + x2 * X)) = 0 (-144 + 72x + -8x2 + (18X + -9xX + x2X)) = 0 Reorder the terms: (-144 + 18X + 72x + -9xX + -8x2 + x2X) = 0 (-144 + 18X + 72x + -9xX + -8x2 + x2X) = 0 Solving -144 + 18X + 72x + -9xX + -8x2 + 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 + 18X + 72x + -9xX + -8x2 + 144 + x2X = 0 + 144 Reorder the terms: -144 + 144 + 18X + 72x + -9xX + -8x2 + x2X = 0 + 144 Combine like terms: -144 + 144 = 0 0 + 18X + 72x + -9xX + -8x2 + x2X = 0 + 144 18X + 72x + -9xX + -8x2 + x2X = 0 + 144 Combine like terms: 0 + 144 = 144 18X + 72x + -9xX + -8x2 + x2X = 144 Add '-72x' to each side of the equation. 18X + 72x + -9xX + -8x2 + -72x + x2X = 144 + -72x Reorder the terms: 18X + 72x + -72x + -9xX + -8x2 + x2X = 144 + -72x Combine like terms: 72x + -72x = 0 18X + 0 + -9xX + -8x2 + x2X = 144 + -72x 18X + -9xX + -8x2 + x2X = 144 + -72x Add '8x2' to each side of the equation. 18X + -9xX + -8x2 + 8x2 + x2X = 144 + -72x + 8x2 Combine like terms: -8x2 + 8x2 = 0 18X + -9xX + 0 + x2X = 144 + -72x + 8x2 18X + -9xX + x2X = 144 + -72x + 8x2 Reorder the terms: -144 + 18X + 72x + -9xX + -8x2 + x2X = 144 + -72x + 8x2 + -144 + 72x + -8x2 Reorder the terms: -144 + 18X + 72x + -9xX + -8x2 + x2X = 144 + -144 + -72x + 72x + 8x2 + -8x2 Combine like terms: 144 + -144 = 0 -144 + 18X + 72x + -9xX + -8x2 + x2X = 0 + -72x + 72x + 8x2 + -8x2 -144 + 18X + 72x + -9xX + -8x2 + x2X = -72x + 72x + 8x2 + -8x2 Combine like terms: -72x + 72x = 0 -144 + 18X + 72x + -9xX + -8x2 + x2X = 0 + 8x2 + -8x2 -144 + 18X + 72x + -9xX + -8x2 + x2X = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -144 + 18X + 72x + -9xX + -8x2 + x2X = 0 The solution to this equation could not be determined.
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