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Simplifying c2 + -12c = -44 Reorder the terms: -12c + c2 = -44 Solving -12c + c2 = -44 Solving for variable 'c'. Reorder the terms: 44 + -12c + c2 = -44 + 44 Combine like terms: -44 + 44 = 0 44 + -12c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '-44' to each side of the equation. 44 + -12c + -44 + c2 = 0 + -44 Reorder the terms: 44 + -44 + -12c + c2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -12c + c2 = 0 + -44 -12c + c2 = 0 + -44 Combine like terms: 0 + -44 = -44 -12c + c2 = -44 The c term is -12c. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12c + 36 + c2 = -44 + 36 Reorder the terms: 36 + -12c + c2 = -44 + 36 Combine like terms: -44 + 36 = -8 36 + -12c + c2 = -8 Factor a perfect square on the left side: (c + -6)(c + -6) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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