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Simplifying c = 0.25c2 + 1 Reorder the terms: c = 1 + 0.25c2 Solving c = 1 + 0.25c2 Solving for variable 'c'. Reorder the terms: -1 + c + -0.25c2 = 1 + 0.25c2 + -1 + -0.25c2 Reorder the terms: -1 + c + -0.25c2 = 1 + -1 + 0.25c2 + -0.25c2 Combine like terms: 1 + -1 = 0 -1 + c + -0.25c2 = 0 + 0.25c2 + -0.25c2 -1 + c + -0.25c2 = 0.25c2 + -0.25c2 Combine like terms: 0.25c2 + -0.25c2 = 0.00 -1 + c + -0.25c2 = 0.00 Begin completing the square. Divide all terms by -0.25 the coefficient of the squared term: Divide each side by '-0.25'. 4 + -4c + c2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -4c + -4 + c2 = 0 + -4 Reorder the terms: 4 + -4 + -4c + c2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4c + c2 = 0 + -4 -4c + c2 = 0 + -4 Combine like terms: 0 + -4 = -4 -4c + c2 = -4 The c term is c. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -4c + 0.25 + c2 = -4 + 0.25 Reorder the terms: 0.25 + -4c + c2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + -4c + c2 = -3.75 Factor a perfect square on the left side: (c + 0.5)(c + 0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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