12k^2-5k+6=0

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Solution for 12k^2-5k+6=0 equation:


Simplifying
12k2 + -5k + 6 = 0

Reorder the terms:
6 + -5k + 12k2 = 0

Solving
6 + -5k + 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'.
0.5 + -0.4166666667k + k2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.4166666667k + -0.5 + k2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.4166666667k + k2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.4166666667k + k2 = 0 + -0.5
-0.4166666667k + k2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.4166666667k + k2 = -0.5

The k term is -0.4166666667k.  Take half its coefficient (-0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
-0.4166666667k + 0.04340277781 + k2 = -0.5 + 0.04340277781

Reorder the terms:
0.04340277781 + -0.4166666667k + k2 = -0.5 + 0.04340277781

Combine like terms: -0.5 + 0.04340277781 = -0.45659722219
0.04340277781 + -0.4166666667k + k2 = -0.45659722219

Factor a perfect square on the left side:
(k + -0.2083333334)(k + -0.2083333334) = -0.45659722219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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