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Simplifying 2x2 + 17x + 120 = 0 Reorder the terms: 120 + 17x + 2x2 = 0 Solving 120 + 17x + 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'. 60 + 8.5x + x2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + 8.5x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + 8.5x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 8.5x + x2 = 0 + -60 8.5x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 8.5x + x2 = -60 The x term is 8.5x. Take half its coefficient (4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. 8.5x + 18.0625 + x2 = -60 + 18.0625 Reorder the terms: 18.0625 + 8.5x + x2 = -60 + 18.0625 Combine like terms: -60 + 18.0625 = -41.9375 18.0625 + 8.5x + x2 = -41.9375 Factor a perfect square on the left side: (x + 4.25)(x + 4.25) = -41.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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