0=x^3+kx^2+x+6

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

Simplifying
0 = x3 + kx2 + x + 6

Reorder the terms:
0 = 6 + kx2 + x + x3

Solving
0 = 6 + kx2 + x + x3

Solving for variable 'k'.

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

Add '-1kx2' to each side of the equation.
0 + -1kx2 = 6 + kx2 + x + -1kx2 + x3
Remove the zero:
-1kx2 = 6 + kx2 + x + -1kx2 + x3

Reorder the terms:
-1kx2 = 6 + kx2 + -1kx2 + x + x3

Combine like terms: kx2 + -1kx2 = 0
-1kx2 = 6 + 0 + x + x3
-1kx2 = 6 + x + x3

Divide each side by '-1x2'.
k = -6x-2 + -1x-1 + -1x

Simplifying
k = -6x-2 + -1x-1 + -1x