X^2+10kx+2k=0

Solution for X^2+10kx+2k=0 equation:

Simplifying
X2 + 10kx + 2k = 0

Reorder the terms:
X2 + 2k + 10kx = 0

Solving
X2 + 2k + 10kx = 0

Solving for variable 'X'.

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

Add '-2k' to each side of the equation.
X2 + 2k + -2k + 10kx = 0 + -2k

Combine like terms: 2k + -2k = 0
X2 + 0 + 10kx = 0 + -2k
X2 + 10kx = 0 + -2k
Remove the zero:
X2 + 10kx = -2k

Add '-10kx' to each side of the equation.
X2 + 10kx + -10kx = -2k + -10kx

Combine like terms: 10kx + -10kx = 0
X2 + 0 = -2k + -10kx
X2 = -2k + -10kx

Simplifying
X2 = -2k + -10kx

Reorder the terms:
X2 + 2k + 10kx = -2k + 2k + -10kx + 10kx

Combine like terms: -2k + 2k = 0
X2 + 2k + 10kx = 0 + -10kx + 10kx
X2 + 2k + 10kx = -10kx + 10kx

Combine like terms: -10kx + 10kx = 0
X2 + 2k + 10kx = 0

The solution to this equation could not be determined.