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Simplifying 2x2 + 100x + 1687 = 0 Reorder the terms: 1687 + 100x + 2x2 = 0 Solving 1687 + 100x + 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'. 843.5 + 50x + x2 = 0 Move the constant term to the right: Add '-843.5' to each side of the equation. 843.5 + 50x + -843.5 + x2 = 0 + -843.5 Reorder the terms: 843.5 + -843.5 + 50x + x2 = 0 + -843.5 Combine like terms: 843.5 + -843.5 = 0.0 0.0 + 50x + x2 = 0 + -843.5 50x + x2 = 0 + -843.5 Combine like terms: 0 + -843.5 = -843.5 50x + x2 = -843.5 The x term is 50x. Take half its coefficient (25). Square it (625) and add it to both sides. Add '625' to each side of the equation. 50x + 625 + x2 = -843.5 + 625 Reorder the terms: 625 + 50x + x2 = -843.5 + 625 Combine like terms: -843.5 + 625 = -218.5 625 + 50x + x2 = -218.5 Factor a perfect square on the left side: (x + 25)(x + 25) = -218.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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