2x^2+3kx+6=0

Solution for 2x^2+3kx+6=0 equation:

Simplifying
2x2 + 3kx + 6 = 0

Reorder the terms:
6 + 3kx + 2x2 = 0

Solving
6 + 3kx + 2x2 = 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 + 3kx + -6 + 2x2 = 0 + -6

Reorder the terms:
6 + -6 + 3kx + 2x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3kx + 2x2 = 0 + -6
3kx + 2x2 = 0 + -6

Combine like terms: 0 + -6 = -6
3kx + 2x2 = -6

Add '-2x2' to each side of the equation.
3kx + 2x2 + -2x2 = -6 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3kx + 0 = -6 + -2x2
3kx = -6 + -2x2

Divide each side by '3x'.
k = -2x-1 + -0.6666666667x

Simplifying
k = -2x-1 + -0.6666666667x