x^2-4kx+6=0

Solution for x^2-4kx+6=0 equation:

Simplifying
x2 + -4kx + 6 = 0

Reorder the terms:
6 + -4kx + x2 = 0

Solving
6 + -4kx + x2 = 0

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -4kx + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -4kx + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4kx + x2 = 0 + -6
-4kx + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4kx + x2 = -6

Add '-1x2' to each side of the equation.
-4kx + x2 + -1x2 = -6 + -1x2

Combine like terms: x2 + -1x2 = 0
-4kx + 0 = -6 + -1x2
-4kx = -6 + -1x2

Divide each side by '-4x'.
k = 1.5x-1 + 0.25x

Simplifying
k = 1.5x-1 + 0.25x