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Simplifying (X + -5)(x2 + 9x + 8) = 0 Reorder the terms: (-5 + X)(x2 + 9x + 8) = 0 Reorder the terms: (-5 + X)(8 + 9x + x2) = 0 Multiply (-5 + X) * (8 + 9x + x2) (-5(8 + 9x + x2) + X(8 + 9x + x2)) = 0 ((8 * -5 + 9x * -5 + x2 * -5) + X(8 + 9x + x2)) = 0 ((-40 + -45x + -5x2) + X(8 + 9x + x2)) = 0 (-40 + -45x + -5x2 + (8 * X + 9x * X + x2 * X)) = 0 (-40 + -45x + -5x2 + (8X + 9xX + x2X)) = 0 Reorder the terms: (-40 + 8X + -45x + 9xX + -5x2 + x2X) = 0 (-40 + 8X + -45x + 9xX + -5x2 + x2X) = 0 Solving -40 + 8X + -45x + 9xX + -5x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 8X + -45x + 9xX + -5x2 + 40 + x2X = 0 + 40 Reorder the terms: -40 + 40 + 8X + -45x + 9xX + -5x2 + x2X = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 8X + -45x + 9xX + -5x2 + x2X = 0 + 40 8X + -45x + 9xX + -5x2 + x2X = 0 + 40 Combine like terms: 0 + 40 = 40 8X + -45x + 9xX + -5x2 + x2X = 40 Add '45x' to each side of the equation. 8X + -45x + 9xX + -5x2 + 45x + x2X = 40 + 45x Reorder the terms: 8X + -45x + 45x + 9xX + -5x2 + x2X = 40 + 45x Combine like terms: -45x + 45x = 0 8X + 0 + 9xX + -5x2 + x2X = 40 + 45x 8X + 9xX + -5x2 + x2X = 40 + 45x Add '5x2' to each side of the equation. 8X + 9xX + -5x2 + 5x2 + x2X = 40 + 45x + 5x2 Combine like terms: -5x2 + 5x2 = 0 8X + 9xX + 0 + x2X = 40 + 45x + 5x2 8X + 9xX + x2X = 40 + 45x + 5x2 Reorder the terms: -40 + 8X + -45x + 9xX + -5x2 + x2X = 40 + 45x + 5x2 + -40 + -45x + -5x2 Reorder the terms: -40 + 8X + -45x + 9xX + -5x2 + x2X = 40 + -40 + 45x + -45x + 5x2 + -5x2 Combine like terms: 40 + -40 = 0 -40 + 8X + -45x + 9xX + -5x2 + x2X = 0 + 45x + -45x + 5x2 + -5x2 -40 + 8X + -45x + 9xX + -5x2 + x2X = 45x + -45x + 5x2 + -5x2 Combine like terms: 45x + -45x = 0 -40 + 8X + -45x + 9xX + -5x2 + x2X = 0 + 5x2 + -5x2 -40 + 8X + -45x + 9xX + -5x2 + x2X = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -40 + 8X + -45x + 9xX + -5x2 + x2X = 0 The solution to this equation could not be determined.
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