3k^2-2k+4=0

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Solution for 3k^2-2k+4=0 equation: 


Simplifying
3k2 + -2k + 4 = 0

Reorder the terms:
4 + -2k + 3k2 = 0

Solving
4 + -2k + 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'.
1.333333333 + -0.6666666667k + k2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.6666666667k + -1.333333333 + k2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.6666666667k + k2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.6666666667k + k2 = 0 + -1.333333333
-0.6666666667k + k2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.6666666667k + k2 = -1.333333333

The k term is -0.6666666667k.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667k + 0.1111111112 + k2 = -1.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667k + k2 = -1.333333333 + 0.1111111112

Combine like terms: -1.333333333 + 0.1111111112 = -1.2222222218
0.1111111112 + -0.6666666667k + k2 = -1.2222222218

Factor a perfect square on the left side:
(k + -0.3333333334)(k + -0.3333333334) = -1.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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