(-6+5i)-(3-6i)=

Solution for (-6+5i)-(3-6i)= equation:

Simplifying
(-6 + 5i) + -1(3 + -6i) = 0

Remove parenthesis around (-6 + 5i)
-6 + 5i + -1(3 + -6i) = 0
-6 + 5i + (3 * -1 + -6i * -1) = 0
-6 + 5i + (-3 + 6i) = 0

Reorder the terms:
-6 + -3 + 5i + 6i = 0

Combine like terms: -6 + -3 = -9
-9 + 5i + 6i = 0

Combine like terms: 5i + 6i = 11i
-9 + 11i = 0

Solving
-9 + 11i = 0

Solving for variable 'i'.

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

Add '9' to each side of the equation.
-9 + 9 + 11i = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 11i = 0 + 9
11i = 0 + 9

Combine like terms: 0 + 9 = 9
11i = 9

Divide each side by '11'.
i = 0.8181818182

Simplifying
i = 0.8181818182