x^2+4kx+(3+11k)=0

Solution for x^2+4kx+(3+11k)=0 equation:

Simplifying
x2 + 4kx + (3 + 11k) = 0

Remove parenthesis around (3 + 11k)
x2 + 4kx + 3 + 11k = 0

Reorder the terms:
3 + 11k + 4kx + x2 = 0

Solving
3 + 11k + 4kx + x2 = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + 11k + 4kx + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 11k + 4kx + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 11k + 4kx + x2 = 0 + -3
11k + 4kx + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
11k + 4kx + x2 = -3

Add '-1x2' to each side of the equation.
11k + 4kx + x2 + -1x2 = -3 + -1x2

Combine like terms: x2 + -1x2 = 0
11k + 4kx + 0 = -3 + -1x2
11k + 4kx = -3 + -1x2

Reorder the terms:
3 + 11k + 4kx + x2 = -3 + -1x2 + 3 + x2

Reorder the terms:
3 + 11k + 4kx + x2 = -3 + 3 + -1x2 + x2

Combine like terms: -3 + 3 = 0
3 + 11k + 4kx + x2 = 0 + -1x2 + x2
3 + 11k + 4kx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3 + 11k + 4kx + x2 = 0

The solution to this equation could not be determined.