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Simplifying x2 + 3.38x + 27.9 = 0 Reorder the terms: 27.9 + 3.38x + x2 = 0 Solving 27.9 + 3.38x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-27.9' to each side of the equation. 27.9 + 3.38x + -27.9 + x2 = 0 + -27.9 Reorder the terms: 27.9 + -27.9 + 3.38x + x2 = 0 + -27.9 Combine like terms: 27.9 + -27.9 = 0.0 0.0 + 3.38x + x2 = 0 + -27.9 3.38x + x2 = 0 + -27.9 Combine like terms: 0 + -27.9 = -27.9 3.38x + x2 = -27.9 The x term is 3.38x. Take half its coefficient (1.69). Square it (2.8561) and add it to both sides. Add '2.8561' to each side of the equation. 3.38x + 2.8561 + x2 = -27.9 + 2.8561 Reorder the terms: 2.8561 + 3.38x + x2 = -27.9 + 2.8561 Combine like terms: -27.9 + 2.8561 = -25.0439 2.8561 + 3.38x + x2 = -25.0439 Factor a perfect square on the left side: (x + 1.69)(x + 1.69) = -25.0439 Can't calculate square root of the right side. The solution to this equation could not be determined.
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