2x^2-x+3k=0

Solution for 2x^2-x+3k=0 equation:

Simplifying
2x2 + -1x + 3k = 0

Reorder the terms:
3k + -1x + 2x2 = 0

Solving
3k + -1x + 2x2 = 0

Solving for variable 'k'.

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

Add 'x' to each side of the equation.
3k + -1x + x + 2x2 = 0 + x

Combine like terms: -1x + x = 0
3k + 0 + 2x2 = 0 + x
3k + 2x2 = 0 + x
Remove the zero:
3k + 2x2 = x

Add '-2x2' to each side of the equation.
3k + 2x2 + -2x2 = x + -2x2

Combine like terms: 2x2 + -2x2 = 0
3k + 0 = x + -2x2
3k = x + -2x2

Divide each side by '3'.
k = 0.3333333333x + -0.6666666667x2

Simplifying
k = 0.3333333333x + -0.6666666667x2