X^2+2kx+1=0

Solution for X^2+2kx+1=0 equation:

Simplifying
X2 + 2kx + 1 = 0

Reorder the terms:
1 + X2 + 2kx = 0

Solving
1 + X2 + 2kx = 0

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + X2 + -1 + 2kx = 0 + -1

Reorder the terms:
1 + -1 + X2 + 2kx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X2 + 2kx = 0 + -1
X2 + 2kx = 0 + -1

Combine like terms: 0 + -1 = -1
X2 + 2kx = -1

Add '-2kx' to each side of the equation.
X2 + 2kx + -2kx = -1 + -2kx

Combine like terms: 2kx + -2kx = 0
X2 + 0 = -1 + -2kx
X2 = -1 + -2kx

Simplifying
X2 = -1 + -2kx

Reorder the terms:
1 + X2 + 2kx = -1 + -2kx + 1 + 2kx

Reorder the terms:
1 + X2 + 2kx = -1 + 1 + -2kx + 2kx

Combine like terms: -1 + 1 = 0
1 + X2 + 2kx = 0 + -2kx + 2kx
1 + X2 + 2kx = -2kx + 2kx

Combine like terms: -2kx + 2kx = 0
1 + X2 + 2kx = 0

The solution to this equation could not be determined.