2k^2+13k+57=0

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Solution for 2k^2+13k+57=0 equation:


Simplifying
2k2 + 13k + 57 = 0

Reorder the terms:
57 + 13k + 2k2 = 0

Solving
57 + 13k + 2k2 = 0

Solving for variable 'k'.

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

Divide each side by '2'.
28.5 + 6.5k + k2 = 0

Move the constant term to the right:

Add '-28.5' to each side of the equation.
28.5 + 6.5k + -28.5 + k2 = 0 + -28.5

Reorder the terms:
28.5 + -28.5 + 6.5k + k2 = 0 + -28.5

Combine like terms: 28.5 + -28.5 = 0.0
0.0 + 6.5k + k2 = 0 + -28.5
6.5k + k2 = 0 + -28.5

Combine like terms: 0 + -28.5 = -28.5
6.5k + k2 = -28.5

The k term is 6.5k.  Take half its coefficient (3.25).
Square it (10.5625) and add it to both sides.

Add '10.5625' to each side of the equation.
6.5k + 10.5625 + k2 = -28.5 + 10.5625

Reorder the terms:
10.5625 + 6.5k + k2 = -28.5 + 10.5625

Combine like terms: -28.5 + 10.5625 = -17.9375
10.5625 + 6.5k + k2 = -17.9375

Factor a perfect square on the left side:
(k + 3.25)(k + 3.25) = -17.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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