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Simplifying c = c * c + 16 Multiply c * c c = c2 + 16 Reorder the terms: c = 16 + c2 Solving c = 16 + c2 Solving for variable 'c'. Reorder the terms: -16 + c + -1c2 = 16 + c2 + -16 + -1c2 Reorder the terms: -16 + c + -1c2 = 16 + -16 + c2 + -1c2 Combine like terms: 16 + -16 = 0 -16 + c + -1c2 = 0 + c2 + -1c2 -16 + c + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 -16 + c + -1c2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 16 + -1c + c2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -1c + -16 + c2 = 0 + -16 Reorder the terms: 16 + -16 + -1c + c2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1c + c2 = 0 + -16 -1c + c2 = 0 + -16 Combine like terms: 0 + -16 = -16 -1c + c2 = -16 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. -1c + 0.25 + c2 = -16 + 0.25 Reorder the terms: 0.25 + -1c + c2 = -16 + 0.25 Combine like terms: -16 + 0.25 = -15.75 0.25 + -1c + c2 = -15.75 Factor a perfect square on the left side: (c + 0.5)(c + 0.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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