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Simplifying 2X2 + 9X + 24 = 0 Reorder the terms: 24 + 9X + 2X2 = 0 Solving 24 + 9X + 2X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12 + 4.5X + X2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + 4.5X + -12 + X2 = 0 + -12 Reorder the terms: 12 + -12 + 4.5X + X2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4.5X + X2 = 0 + -12 4.5X + X2 = 0 + -12 Combine like terms: 0 + -12 = -12 4.5X + X2 = -12 The X term is 4.5X. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5X + 5.0625 + X2 = -12 + 5.0625 Reorder the terms: 5.0625 + 4.5X + X2 = -12 + 5.0625 Combine like terms: -12 + 5.0625 = -6.9375 5.0625 + 4.5X + X2 = -6.9375 Factor a perfect square on the left side: (X + 2.25)(X + 2.25) = -6.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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