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Simplifying 10c2 + -29c + -21 = -2c2 + -30c + -35 Reorder the terms: -21 + -29c + 10c2 = -2c2 + -30c + -35 Reorder the terms: -21 + -29c + 10c2 = -35 + -30c + -2c2 Solving -21 + -29c + 10c2 = -35 + -30c + -2c2 Solving for variable 'c'. Reorder the terms: -21 + 35 + -29c + 30c + 10c2 + 2c2 = -35 + -30c + -2c2 + 35 + 30c + 2c2 Combine like terms: -21 + 35 = 14 14 + -29c + 30c + 10c2 + 2c2 = -35 + -30c + -2c2 + 35 + 30c + 2c2 Combine like terms: -29c + 30c = 1c 14 + 1c + 10c2 + 2c2 = -35 + -30c + -2c2 + 35 + 30c + 2c2 Combine like terms: 10c2 + 2c2 = 12c2 14 + 1c + 12c2 = -35 + -30c + -2c2 + 35 + 30c + 2c2 Reorder the terms: 14 + 1c + 12c2 = -35 + 35 + -30c + 30c + -2c2 + 2c2 Combine like terms: -35 + 35 = 0 14 + 1c + 12c2 = 0 + -30c + 30c + -2c2 + 2c2 14 + 1c + 12c2 = -30c + 30c + -2c2 + 2c2 Combine like terms: -30c + 30c = 0 14 + 1c + 12c2 = 0 + -2c2 + 2c2 14 + 1c + 12c2 = -2c2 + 2c2 Combine like terms: -2c2 + 2c2 = 0 14 + 1c + 12c2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.166666667 + 0.08333333333c + c2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + 0.08333333333c + -1.166666667 + c2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + 0.08333333333c + c2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + 0.08333333333c + c2 = 0 + -1.166666667 0.08333333333c + c2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 0.08333333333c + c2 = -1.166666667 The c term is 0.08333333333c. Take half its coefficient (0.04166666667). Square it (0.001736111111) and add it to both sides. Add '0.001736111111' to each side of the equation. 0.08333333333c + 0.001736111111 + c2 = -1.166666667 + 0.001736111111 Reorder the terms: 0.001736111111 + 0.08333333333c + c2 = -1.166666667 + 0.001736111111 Combine like terms: -1.166666667 + 0.001736111111 = -1.164930555889 0.001736111111 + 0.08333333333c + c2 = -1.164930555889 Factor a perfect square on the left side: (c + 0.04166666667)(c + 0.04166666667) = -1.164930555889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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