2k^2-16k+43=6

Solution for 2k^2-16k+43=6 equation:

Simplifying
2k2 + -16k + 43 = 6

Reorder the terms:
43 + -16k + 2k2 = 6

Solving
43 + -16k + 2k2 = 6

Solving for variable 'k'.

Reorder the terms:
43 + -6 + -16k + 2k2 = 6 + -6

Combine like terms: 43 + -6 = 37
37 + -16k + 2k2 = 6 + -6

Combine like terms: 6 + -6 = 0
37 + -16k + 2k2 = 0

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

Divide each side by '2'.
18.5 + -8k + k2 = 0

Move the constant term to the right:

Add '-18.5' to each side of the equation.
18.5 + -8k + -18.5 + k2 = 0 + -18.5

Reorder the terms:
18.5 + -18.5 + -8k + k2 = 0 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + -8k + k2 = 0 + -18.5
-8k + k2 = 0 + -18.5

Combine like terms: 0 + -18.5 = -18.5
-8k + k2 = -18.5

The k term is -8k.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8k + 16 + k2 = -18.5 + 16

Reorder the terms:
16 + -8k + k2 = -18.5 + 16

Combine like terms: -18.5 + 16 = -2.5
16 + -8k + k2 = -2.5

Factor a perfect square on the left side:
(k + -4)(k + -4) = -2.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.