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Simplifying x2 + cx + -1c2 = 0 Reorder the terms: cx + -1c2 + x2 = 0 Solving cx + -1c2 + x2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -1cx + c2 + -1x2 = 0 Move the constant term to the right: Add '-1x2' to each side of the equation. -1cx + c2 + -1x2 + -1x2 = 0 + -1x2 Combine like terms: -1x2 + -1x2 = -2x2 -1cx + c2 + -2x2 = 0 + -1x2 Remove the zero: -1cx + c2 + -2x2 = -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. -1cx + c2 + -2x2 + 0.25x2 = -1x2 + 0.25x2 Combine like terms: -2x2 + 0.25x2 = -1.75x2 -1cx + c2 + -1.75x2 = -1x2 + 0.25x2 Combine like terms: -1x2 + 0.25x2 = -0.75x2 -1cx + c2 + -1.75x2 = -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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