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Simplifying 7k2 + -12k = -7 Reorder the terms: -12k + 7k2 = -7 Solving -12k + 7k2 = -7 Solving for variable 'k'. Reorder the terms: 7 + -12k + 7k2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -12k + 7k2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + -1.714285714k + k2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.714285714k + -1 + k2 = 0 + -1 Reorder the terms: 1 + -1 + -1.714285714k + k2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.714285714k + k2 = 0 + -1 -1.714285714k + k2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.714285714k + k2 = -1 The k term is -1.714285714k. Take half its coefficient (-0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. -1.714285714k + 0.7346938773 + k2 = -1 + 0.7346938773 Reorder the terms: 0.7346938773 + -1.714285714k + k2 = -1 + 0.7346938773 Combine like terms: -1 + 0.7346938773 = -0.2653061227 0.7346938773 + -1.714285714k + k2 = -0.2653061227 Factor a perfect square on the left side: (k + -0.857142857)(k + -0.857142857) = -0.2653061227 Can't calculate square root of the right side. The solution to this equation could not be determined.
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