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Simplifying X2 = -24 + -1X Solving X2 = -24 + -1X Solving for variable 'X'. Reorder the terms: 24 + X + X2 = -24 + -1X + 24 + X Reorder the terms: 24 + X + X2 = -24 + 24 + -1X + X Combine like terms: -24 + 24 = 0 24 + X + X2 = 0 + -1X + X 24 + X + X2 = -1X + X Combine like terms: -1X + X = 0 24 + X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + X + -24 + X2 = 0 + -24 Reorder the terms: 24 + -24 + X + X2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + X + X2 = 0 + -24 X + X2 = 0 + -24 Combine like terms: 0 + -24 = -24 X + X2 = -24 The X term is X. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. X + 0.25 + X2 = -24 + 0.25 Reorder the terms: 0.25 + X + X2 = -24 + 0.25 Combine like terms: -24 + 0.25 = -23.75 0.25 + X + X2 = -23.75 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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