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Simplifying X2 + 9X + 23 = 0 Reorder the terms: 23 + 9X + X2 = 0 Solving 23 + 9X + X2 = 0 Solving for variable 'X'. Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + 9X + -23 + X2 = 0 + -23 Reorder the terms: 23 + -23 + 9X + X2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 9X + X2 = 0 + -23 9X + X2 = 0 + -23 Combine like terms: 0 + -23 = -23 9X + X2 = -23 The X term is 9X. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9X + 20.25 + X2 = -23 + 20.25 Reorder the terms: 20.25 + 9X + X2 = -23 + 20.25 Combine like terms: -23 + 20.25 = -2.75 20.25 + 9X + X2 = -2.75 Factor a perfect square on the left side: (X + 4.5)(X + 4.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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