x^2+3cx+6=0

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

Simplifying
x2 + 3cx + 6 = 0

Reorder the terms:
6 + 3cx + x2 = 0

Solving
6 + 3cx + x2 = 0

Solving for variable 'c'.

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

Add '-6' to each side of the equation.
6 + 3cx + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 3cx + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3cx + x2 = 0 + -6
3cx + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
3cx + x2 = -6

Add '-1x2' to each side of the equation.
3cx + x2 + -1x2 = -6 + -1x2

Combine like terms: x2 + -1x2 = 0
3cx + 0 = -6 + -1x2
3cx = -6 + -1x2

Divide each side by '3x'.
c = -2x-1 + -0.3333333333x

Simplifying
c = -2x-1 + -0.3333333333x