3k^2-1k+6=0

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Solution for 3k^2-1k+6=0 equation:


Simplifying
3k2 + -1k + 6 = 0

Reorder the terms:
6 + -1k + 3k2 = 0

Solving
6 + -1k + 3k2 = 0

Solving for variable 'k'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
2 + -0.3333333333k + k2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -0.3333333333k + -2 + k2 = 0 + -2

Reorder the terms:
2 + -2 + -0.3333333333k + k2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.3333333333k + k2 = 0 + -2
-0.3333333333k + k2 = 0 + -2

Combine like terms: 0 + -2 = -2
-0.3333333333k + k2 = -2

The k term is -0.3333333333k.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333k + 0.02777777779 + k2 = -2 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333k + k2 = -2 + 0.02777777779

Combine like terms: -2 + 0.02777777779 = -1.97222222221
0.02777777779 + -0.3333333333k + k2 = -1.97222222221

Factor a perfect square on the left side:
(k + -0.1666666667)(k + -0.1666666667) = -1.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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