2k^2+6=5k-5

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

Simplifying
2k2 + 6 = 5k + -5

Reorder the terms:
6 + 2k2 = 5k + -5

Reorder the terms:
6 + 2k2 = -5 + 5k

Solving
6 + 2k2 = -5 + 5k

Solving for variable 'k'.

Reorder the terms:
6 + 5 + -5k + 2k2 = -5 + 5k + 5 + -5k

Combine like terms: 6 + 5 = 11
11 + -5k + 2k2 = -5 + 5k + 5 + -5k

Reorder the terms:
11 + -5k + 2k2 = -5 + 5 + 5k + -5k

Combine like terms: -5 + 5 = 0
11 + -5k + 2k2 = 0 + 5k + -5k
11 + -5k + 2k2 = 5k + -5k

Combine like terms: 5k + -5k = 0
11 + -5k + 2k2 = 0

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

Divide each side by '2'.
5.5 + -2.5k + k2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -2.5k + -5.5 + k2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -2.5k + k2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -2.5k + k2 = 0 + -5.5
-2.5k + k2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-2.5k + k2 = -5.5

The k term is -2.5k.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5k + 1.5625 + k2 = -5.5 + 1.5625

Reorder the terms:
1.5625 + -2.5k + k2 = -5.5 + 1.5625

Combine like terms: -5.5 + 1.5625 = -3.9375
1.5625 + -2.5k + k2 = -3.9375

Factor a perfect square on the left side:
(k + -1.25)(k + -1.25) = -3.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.