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Simplifying 3k2 + 10 = -6k Reorder the terms: 10 + 3k2 = -6k Solving 10 + 3k2 = -6k Solving for variable 'k'. Reorder the terms: 10 + 6k + 3k2 = -6k + 6k Combine like terms: -6k + 6k = 0 10 + 6k + 3k2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3.333333333 + 2k + k2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + 2k + -3.333333333 + k2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + 2k + k2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + 2k + k2 = 0 + -3.333333333 2k + k2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 2k + k2 = -3.333333333 The k term is 2k. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2k + 1 + k2 = -3.333333333 + 1 Reorder the terms: 1 + 2k + k2 = -3.333333333 + 1 Combine like terms: -3.333333333 + 1 = -2.333333333 1 + 2k + k2 = -2.333333333 Factor a perfect square on the left side: (k + 1)(k + 1) = -2.333333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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