x^2+ix+6=0

Solution for x^2+ix+6=0 equation:

Simplifying
x2 + ix + 6 = 0

Reorder the terms:
6 + ix + x2 = 0

Solving
6 + ix + x2 = 0

Solving for variable 'i'.

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

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

Reorder the terms:
6 + -6 + ix + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + ix + x2 = 0 + -6
ix + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
ix + x2 = -6

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

Combine like terms: x2 + -1x2 = 0
ix + 0 = -6 + -1x2
ix = -6 + -1x2

Divide each side by 'x'.
i = -6x-1 + -1x

Simplifying
i = -6x-1 + -1x