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Simplifying x2 + 3x + 41 = 0 Reorder the terms: 41 + 3x + x2 = 0 Solving 41 + 3x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + 3x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + 3x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 3x + x2 = 0 + -41 3x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 3x + x2 = -41 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -41 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -41 + 2.25 Combine like terms: -41 + 2.25 = -38.75 2.25 + 3x + x2 = -38.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -38.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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