16k^2-4k+9=11k^2-2k

Solution for 16k^2-4k+9=11k^2-2k equation:

Simplifying
16k2 + -4k + 9 = 11k2 + -2k

Reorder the terms:
9 + -4k + 16k2 = 11k2 + -2k

Reorder the terms:
9 + -4k + 16k2 = -2k + 11k2

Solving
9 + -4k + 16k2 = -2k + 11k2

Solving for variable 'k'.

Reorder the terms:
9 + -4k + 2k + 16k2 + -11k2 = -2k + 11k2 + 2k + -11k2

Combine like terms: -4k + 2k = -2k
9 + -2k + 16k2 + -11k2 = -2k + 11k2 + 2k + -11k2

Combine like terms: 16k2 + -11k2 = 5k2
9 + -2k + 5k2 = -2k + 11k2 + 2k + -11k2

Reorder the terms:
9 + -2k + 5k2 = -2k + 2k + 11k2 + -11k2

Combine like terms: -2k + 2k = 0
9 + -2k + 5k2 = 0 + 11k2 + -11k2
9 + -2k + 5k2 = 11k2 + -11k2

Combine like terms: 11k2 + -11k2 = 0
9 + -2k + 5k2 = 0

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

Divide each side by '5'.
1.8 + -0.4k + k2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + -0.4k + -1.8 + k2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + -0.4k + k2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.4k + k2 = 0 + -1.8
-0.4k + k2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
-0.4k + k2 = -1.8

The k term is -0.4k.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4k + 0.04 + k2 = -1.8 + 0.04

Reorder the terms:
0.04 + -0.4k + k2 = -1.8 + 0.04

Combine like terms: -1.8 + 0.04 = -1.76
0.04 + -0.4k + k2 = -1.76

Factor a perfect square on the left side:
(k + -0.2)(k + -0.2) = -1.76

Can't calculate square root of the right side.

The solution to this equation could not be determined.