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Simplifying 0 = -7k2 + -7 + -8k Reorder the terms: 0 = -7 + -8k + -7k2 Solving 0 = -7 + -8k + -7k2 Solving for variable 'k'. Combine like terms: 0 + 7 = 7 7 + 8k + 7k2 = -7 + -8k + -7k2 + 7 + 8k + 7k2 Reorder the terms: 7 + 8k + 7k2 = -7 + 7 + -8k + 8k + -7k2 + 7k2 Combine like terms: -7 + 7 = 0 7 + 8k + 7k2 = 0 + -8k + 8k + -7k2 + 7k2 7 + 8k + 7k2 = -8k + 8k + -7k2 + 7k2 Combine like terms: -8k + 8k = 0 7 + 8k + 7k2 = 0 + -7k2 + 7k2 7 + 8k + 7k2 = -7k2 + 7k2 Combine like terms: -7k2 + 7k2 = 0 7 + 8k + 7k2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + 1.142857143k + k2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.142857143k + -1 + k2 = 0 + -1 Reorder the terms: 1 + -1 + 1.142857143k + k2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.142857143k + k2 = 0 + -1 1.142857143k + k2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.142857143k + k2 = -1 The k term is 1.142857143k. Take half its coefficient (0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. 1.142857143k + 0.3265306123 + k2 = -1 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143k + k2 = -1 + 0.3265306123 Combine like terms: -1 + 0.3265306123 = -0.6734693877 0.3265306123 + 1.142857143k + k2 = -0.6734693877 Factor a perfect square on the left side: (k + 0.5714285715)(k + 0.5714285715) = -0.6734693877 Can't calculate square root of the right side. The solution to this equation could not be determined.
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