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Simplifying X2 + 6X + 23 = 0 Reorder the terms: 23 + 6X + X2 = 0 Solving 23 + 6X + 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 + 6X + -23 + X2 = 0 + -23 Reorder the terms: 23 + -23 + 6X + X2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 6X + X2 = 0 + -23 6X + X2 = 0 + -23 Combine like terms: 0 + -23 = -23 6X + X2 = -23 The X term is 6X. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6X + 9 + X2 = -23 + 9 Reorder the terms: 9 + 6X + X2 = -23 + 9 Combine like terms: -23 + 9 = -14 9 + 6X + X2 = -14 Factor a perfect square on the left side: (X + 3)(X + 3) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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