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Simplifying c2 + -4c + 16 = 4 Reorder the terms: 16 + -4c + c2 = 4 Solving 16 + -4c + c2 = 4 Solving for variable 'c'. Reorder the terms: 16 + -4 + -4c + c2 = 4 + -4 Combine like terms: 16 + -4 = 12 12 + -4c + c2 = 4 + -4 Combine like terms: 4 + -4 = 0 12 + -4c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + -4c + -12 + c2 = 0 + -12 Reorder the terms: 12 + -12 + -4c + c2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4c + c2 = 0 + -12 -4c + c2 = 0 + -12 Combine like terms: 0 + -12 = -12 -4c + c2 = -12 The c term is -4c. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4c + 4 + c2 = -12 + 4 Reorder the terms: 4 + -4c + c2 = -12 + 4 Combine like terms: -12 + 4 = -8 4 + -4c + c2 = -8 Factor a perfect square on the left side: (c + -2)(c + -2) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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