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Simplifying 2x2 + 9x + 41 = 0 Reorder the terms: 41 + 9x + 2x2 = 0 Solving 41 + 9x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 20.5 + 4.5x + x2 = 0 Move the constant term to the right: Add '-20.5' to each side of the equation. 20.5 + 4.5x + -20.5 + x2 = 0 + -20.5 Reorder the terms: 20.5 + -20.5 + 4.5x + x2 = 0 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + 4.5x + x2 = 0 + -20.5 4.5x + x2 = 0 + -20.5 Combine like terms: 0 + -20.5 = -20.5 4.5x + x2 = -20.5 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = -20.5 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = -20.5 + 5.0625 Combine like terms: -20.5 + 5.0625 = -15.4375 5.0625 + 4.5x + x2 = -15.4375 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = -15.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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