x^2+4xk+1=0

Solution for x^2+4xk+1=0 equation:

Simplifying
x2 + 4xk + 1 = 0

Reorder the terms:
1 + 4kx + x2 = 0

Solving
1 + 4kx + x2 = 0

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + 4kx + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 4kx + x2 = 0 + -1

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

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

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

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

Divide each side by '4x'.
k = -0.25x-1 + -0.25x

Simplifying
k = -0.25x-1 + -0.25x