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Simplifying 2c2 + cd + 2d2 = 0 Reorder the terms: cd + 2c2 + 2d2 = 0 Solving cd + 2c2 + 2d2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5cd + c2 + d2 = 0 Move the constant term to the right: Add '-1d2' to each side of the equation. 0.5cd + c2 + d2 + -1d2 = 0 + -1d2 Combine like terms: d2 + -1d2 = 0 0.5cd + c2 + 0 = 0 + -1d2 0.5cd + c2 = 0 + -1d2 Remove the zero: 0.5cd + c2 = -1d2 The c term is cd. Take half its coefficient (0.5d). Square it (0.25d2) and add it to both sides. Add '0.25d2' to each side of the equation. 0.5cd + c2 + 0.25d2 = -1d2 + 0.25d2 Combine like terms: -1d2 + 0.25d2 = -0.75d2 0.5cd + c2 + 0.25d2 = -0.75d2 Factor a perfect square on the left side: (c + 0.5d)(c + 0.5d) = -0.75d2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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