12k^2-k+20=0

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Solution for 12k^2-k+20=0 equation: 


Simplifying
12k2 + -1k + 20 = 0

Reorder the terms:
20 + -1k + 12k2 = 0

Solving
20 + -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'.
1.666666667 + -0.08333333333k + k2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -0.08333333333k + -1.666666667 + k2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -0.08333333333k + k2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -0.08333333333k + k2 = 0 + -1.666666667
-0.08333333333k + k2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-0.08333333333k + k2 = -1.666666667

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 = -1.666666667 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333k + k2 = -1.666666667 + 0.001736111111

Combine like terms: -1.666666667 + 0.001736111111 = -1.664930555889
0.001736111111 + -0.08333333333k + k2 = -1.664930555889

Factor a perfect square on the left side:
(k + -0.04166666667)(k + -0.04166666667) = -1.664930555889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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