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Simplifying 2x2 + 7x + 41 = 0 Reorder the terms: 41 + 7x + 2x2 = 0 Solving 41 + 7x + 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 + 3.5x + x2 = 0 Move the constant term to the right: Add '-20.5' to each side of the equation. 20.5 + 3.5x + -20.5 + x2 = 0 + -20.5 Reorder the terms: 20.5 + -20.5 + 3.5x + x2 = 0 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + 3.5x + x2 = 0 + -20.5 3.5x + x2 = 0 + -20.5 Combine like terms: 0 + -20.5 = -20.5 3.5x + x2 = -20.5 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = -20.5 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = -20.5 + 3.0625 Combine like terms: -20.5 + 3.0625 = -17.4375 3.0625 + 3.5x + x2 = -17.4375 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = -17.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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