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Simplifying 6.1C2 + -3.1C + 4 + 4.2C + -2.5C2 + -0.1 = 0 Reorder the terms: 4 + -0.1 + -3.1C + 4.2C + 6.1C2 + -2.5C2 = 0 Combine like terms: 4 + -0.1 = 3.9 3.9 + -3.1C + 4.2C + 6.1C2 + -2.5C2 = 0 Combine like terms: -3.1C + 4.2C = 1.1C 3.9 + 1.1C + 6.1C2 + -2.5C2 = 0 Combine like terms: 6.1C2 + -2.5C2 = 3.6C2 3.9 + 1.1C + 3.6C2 = 0 Solving 3.9 + 1.1C + 3.6C2 = 0 Solving for variable 'C'. Begin completing the square. Divide all terms by 3.6 the coefficient of the squared term: Divide each side by '3.6'. 1.083333333 + 0.3055555556C + C2 = 0 Move the constant term to the right: Add '-1.083333333' to each side of the equation. 1.083333333 + 0.3055555556C + -1.083333333 + C2 = 0 + -1.083333333 Reorder the terms: 1.083333333 + -1.083333333 + 0.3055555556C + C2 = 0 + -1.083333333 Combine like terms: 1.083333333 + -1.083333333 = 0.000000000 0.000000000 + 0.3055555556C + C2 = 0 + -1.083333333 0.3055555556C + C2 = 0 + -1.083333333 Combine like terms: 0 + -1.083333333 = -1.083333333 0.3055555556C + C2 = -1.083333333 The C term is 0.3055555556C. Take half its coefficient (0.1527777778). Square it (0.02334104939) and add it to both sides. Add '0.02334104939' to each side of the equation. 0.3055555556C + 0.02334104939 + C2 = -1.083333333 + 0.02334104939 Reorder the terms: 0.02334104939 + 0.3055555556C + C2 = -1.083333333 + 0.02334104939 Combine like terms: -1.083333333 + 0.02334104939 = -1.05999228361 0.02334104939 + 0.3055555556C + C2 = -1.05999228361 Factor a perfect square on the left side: (C + 0.1527777778)(C + 0.1527777778) = -1.05999228361 Can't calculate square root of the right side. The solution to this equation could not be determined.
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