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Simplifying 12k2 + -1k + 7 = 0 Reorder the terms: 7 + -1k + 12k2 = 0 Solving 7 + -1k + 12k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.5833333333 + -0.08333333333k + k2 = 0 Move the constant term to the right: Add '-0.5833333333' to each side of the equation. 0.5833333333 + -0.08333333333k + -0.5833333333 + k2 = 0 + -0.5833333333 Reorder the terms: 0.5833333333 + -0.5833333333 + -0.08333333333k + k2 = 0 + -0.5833333333 Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000 0.0000000000 + -0.08333333333k + k2 = 0 + -0.5833333333 -0.08333333333k + k2 = 0 + -0.5833333333 Combine like terms: 0 + -0.5833333333 = -0.5833333333 -0.08333333333k + k2 = -0.5833333333 The k term is -0.08333333333k. Take half its coefficient (-0.04166666667). Square it (0.001736111111) and add it to both sides. Add '0.001736111111' to each side of the equation. -0.08333333333k + 0.001736111111 + k2 = -0.5833333333 + 0.001736111111 Reorder the terms: 0.001736111111 + -0.08333333333k + k2 = -0.5833333333 + 0.001736111111 Combine like terms: -0.5833333333 + 0.001736111111 = -0.581597222189 0.001736111111 + -0.08333333333k + k2 = -0.581597222189 Factor a perfect square on the left side: (k + -0.04166666667)(k + -0.04166666667) = -0.581597222189 Can't calculate square root of the right side. The solution to this equation could not be determined.
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