(3+2I)-(6+13I)=0

Solution for (3+2I)-(6+13I)=0 equation:

Simplifying
(3 + 2I) + -1(6 + 13I) = 0

Remove parenthesis around (3 + 2I)
3 + 2I + -1(6 + 13I) = 0
3 + 2I + (6 * -1 + 13I * -1) = 0
3 + 2I + (-6 + -13I) = 0

Reorder the terms:
3 + -6 + 2I + -13I = 0

Combine like terms: 3 + -6 = -3
-3 + 2I + -13I = 0

Combine like terms: 2I + -13I = -11I
-3 + -11I = 0

Solving
-3 + -11I = 0

Solving for variable 'I'.

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

Add '3' to each side of the equation.
-3 + 3 + -11I = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -11I = 0 + 3
-11I = 0 + 3

Combine like terms: 0 + 3 = 3
-11I = 3

Divide each side by '-11'.
I = -0.2727272727

Simplifying
I = -0.2727272727