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Simplifying x2 + xc + c2 = 0 Reorder the terms: cx + c2 + x2 = 0 Solving cx + c2 + x2 = 0 Solving for variable 'c'. Begin completing the square. Move the constant term to the right: Add '-1x2' to each side of the equation. cx + c2 + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 cx + c2 + 0 = 0 + -1x2 cx + c2 = 0 + -1x2 Remove the zero: cx + c2 = -1x2 The c term is cx. Take half its coefficient (0.5x). Square it (0.25x2) and add it to both sides. Add '0.25x2' to each side of the equation. cx + c2 + 0.25x2 = -1x2 + 0.25x2 Combine like terms: -1x2 + 0.25x2 = -0.75x2 cx + c2 + 0.25x2 = -0.75x2 Factor a perfect square on the left side: (c + 0.5x)(c + 0.5x) = -0.75x2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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