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Simplifying 7k2 + 18 = 14k Reorder the terms: 18 + 7k2 = 14k Solving 18 + 7k2 = 14k Solving for variable 'k'. Reorder the terms: 18 + -14k + 7k2 = 14k + -14k Combine like terms: 14k + -14k = 0 18 + -14k + 7k2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 2.571428571 + -2k + k2 = 0 Move the constant term to the right: Add '-2.571428571' to each side of the equation. 2.571428571 + -2k + -2.571428571 + k2 = 0 + -2.571428571 Reorder the terms: 2.571428571 + -2.571428571 + -2k + k2 = 0 + -2.571428571 Combine like terms: 2.571428571 + -2.571428571 = 0.000000000 0.000000000 + -2k + k2 = 0 + -2.571428571 -2k + k2 = 0 + -2.571428571 Combine like terms: 0 + -2.571428571 = -2.571428571 -2k + k2 = -2.571428571 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 = -2.571428571 + 1 Reorder the terms: 1 + -2k + k2 = -2.571428571 + 1 Combine like terms: -2.571428571 + 1 = -1.571428571 1 + -2k + k2 = -1.571428571 Factor a perfect square on the left side: (k + -1)(k + -1) = -1.571428571 Can't calculate square root of the right side. The solution to this equation could not be determined.
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