x^2-2mx+k=0

Solution for x^2-2mx+k=0 equation:

Simplifying
x2 + -2mx + k = 0

Reorder the terms:
k + -2mx + x2 = 0

Solving
k + -2mx + x2 = 0

Solving for variable 'k'.

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

Add '2mx' to each side of the equation.
k + -2mx + 2mx + x2 = 0 + 2mx

Combine like terms: -2mx + 2mx = 0
k + 0 + x2 = 0 + 2mx
k + x2 = 0 + 2mx
Remove the zero:
k + x2 = 2mx

Add '-1x2' to each side of the equation.
k + x2 + -1x2 = 2mx + -1x2

Combine like terms: x2 + -1x2 = 0
k + 0 = 2mx + -1x2
k = 2mx + -1x2

Simplifying
k = 2mx + -1x2