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Simplifying 54x2 + 11x + 54 = 0 Reorder the terms: 54 + 11x + 54x2 = 0 Solving 54 + 11x + 54x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 54 the coefficient of the squared term: Divide each side by '54'. 1 + 0.2037037037x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.2037037037x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.2037037037x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.2037037037x + x2 = 0 + -1 0.2037037037x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.2037037037x + x2 = -1 The x term is 0.2037037037x. Take half its coefficient (0.1018518519). Square it (0.01037379974) and add it to both sides. Add '0.01037379974' to each side of the equation. 0.2037037037x + 0.01037379974 + x2 = -1 + 0.01037379974 Reorder the terms: 0.01037379974 + 0.2037037037x + x2 = -1 + 0.01037379974 Combine like terms: -1 + 0.01037379974 = -0.98962620026 0.01037379974 + 0.2037037037x + x2 = -0.98962620026 Factor a perfect square on the left side: (x + 0.1018518519)(x + 0.1018518519) = -0.98962620026 Can't calculate square root of the right side. The solution to this equation could not be determined.
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