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Simplifying x2 + x + 2 = -2.25 Reorder the terms: 2 + x + x2 = -2.25 Solving 2 + x + x2 = -2.25 Solving for variable 'x'. Reorder the terms: 2 + 2.25 + x + x2 = -2.25 + 2.25 Combine like terms: 2 + 2.25 = 4.25 4.25 + x + x2 = -2.25 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 4.25 + x + x2 = 0.00 Begin completing the square. Move the constant term to the right: Add '-4.25' to each side of the equation. 4.25 + x + -4.25 + x2 = 0.00 + -4.25 Reorder the terms: 4.25 + -4.25 + x + x2 = 0.00 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + x + x2 = 0.00 + -4.25 x + x2 = 0.00 + -4.25 Combine like terms: 0.00 + -4.25 = -4.25 x + x2 = -4.25 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 = -4.25 + 0.25 Reorder the terms: 0.25 + x + x2 = -4.25 + 0.25 Combine like terms: -4.25 + 0.25 = -4 0.25 + x + x2 = -4 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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