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Simplifying X2 + 1.5X + 1.5625 = 0 Reorder the terms: 1.5625 + 1.5X + X2 = 0 Solving 1.5625 + 1.5X + X2 = 0 Solving for variable 'X'. Begin completing the square. Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + 1.5X + -1.5625 + X2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + 1.5X + X2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + 1.5X + X2 = 0 + -1.5625 1.5X + X2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 1.5X + X2 = -1.5625 The X term is 1.5X. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5X + 0.5625 + X2 = -1.5625 + 0.5625 Reorder the terms: 0.5625 + 1.5X + X2 = -1.5625 + 0.5625 Combine like terms: -1.5625 + 0.5625 = -1 0.5625 + 1.5X + X2 = -1 Factor a perfect square on the left side: (X + 0.75)(X + 0.75) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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