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Simplifying 2D2 + 0.1D + 5 = 0 Reorder the terms: 5 + 0.1D + 2D2 = 0 Solving 5 + 0.1D + 2D2 = 0 Solving for variable 'D'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + 0.05D + D2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 0.05D + -2.5 + D2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 0.05D + D2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.05D + D2 = 0 + -2.5 0.05D + D2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 0.05D + D2 = -2.5 The D term is 0.05D. Take half its coefficient (0.025). Square it (0.000625) and add it to both sides. Add '0.000625' to each side of the equation. 0.05D + 0.000625 + D2 = -2.5 + 0.000625 Reorder the terms: 0.000625 + 0.05D + D2 = -2.5 + 0.000625 Combine like terms: -2.5 + 0.000625 = -2.499375 0.000625 + 0.05D + D2 = -2.499375 Factor a perfect square on the left side: (D + 0.025)(D + 0.025) = -2.499375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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