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Simplifying 2k + 6k2 + 60 = 19k Reorder the terms: 60 + 2k + 6k2 = 19k Solving 60 + 2k + 6k2 = 19k Solving for variable 'k'. Reorder the terms: 60 + 2k + -19k + 6k2 = 19k + -19k Combine like terms: 2k + -19k = -17k 60 + -17k + 6k2 = 19k + -19k Combine like terms: 19k + -19k = 0 60 + -17k + 6k2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 10 + -2.833333333k + k2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -2.833333333k + -10 + k2 = 0 + -10 Reorder the terms: 10 + -10 + -2.833333333k + k2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2.833333333k + k2 = 0 + -10 -2.833333333k + k2 = 0 + -10 Combine like terms: 0 + -10 = -10 -2.833333333k + k2 = -10 The k term is -2.833333333k. Take half its coefficient (-1.416666667). Square it (2.006944445) and add it to both sides. Add '2.006944445' to each side of the equation. -2.833333333k + 2.006944445 + k2 = -10 + 2.006944445 Reorder the terms: 2.006944445 + -2.833333333k + k2 = -10 + 2.006944445 Combine like terms: -10 + 2.006944445 = -7.993055555 2.006944445 + -2.833333333k + k2 = -7.993055555 Factor a perfect square on the left side: (k + -1.416666667)(k + -1.416666667) = -7.993055555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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