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Simplifying 10c2 + 8c + 12 = -9 Reorder the terms: 12 + 8c + 10c2 = -9 Solving 12 + 8c + 10c2 = -9 Solving for variable 'c'. Reorder the terms: 12 + 9 + 8c + 10c2 = -9 + 9 Combine like terms: 12 + 9 = 21 21 + 8c + 10c2 = -9 + 9 Combine like terms: -9 + 9 = 0 21 + 8c + 10c2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.1 + 0.8c + c2 = 0 Move the constant term to the right: Add '-2.1' to each side of the equation. 2.1 + 0.8c + -2.1 + c2 = 0 + -2.1 Reorder the terms: 2.1 + -2.1 + 0.8c + c2 = 0 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 0.8c + c2 = 0 + -2.1 0.8c + c2 = 0 + -2.1 Combine like terms: 0 + -2.1 = -2.1 0.8c + c2 = -2.1 The c term is 0.8c. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8c + 0.16 + c2 = -2.1 + 0.16 Reorder the terms: 0.16 + 0.8c + c2 = -2.1 + 0.16 Combine like terms: -2.1 + 0.16 = -1.94 0.16 + 0.8c + c2 = -1.94 Factor a perfect square on the left side: (c + 0.4)(c + 0.4) = -1.94 Can't calculate square root of the right side. The solution to this equation could not be determined.
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