(-6+5i)-(-3+9i)=

Solution for (-6+5i)-(-3+9i)= equation:

Simplifying
(-6 + 5i) + -1(-3 + 9i) = 0

Remove parenthesis around (-6 + 5i)
-6 + 5i + -1(-3 + 9i) = 0
-6 + 5i + (-3 * -1 + 9i * -1) = 0
-6 + 5i + (3 + -9i) = 0

Reorder the terms:
-6 + 3 + 5i + -9i = 0

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

Combine like terms: 5i + -9i = -4i
-3 + -4i = 0

Solving
-3 + -4i = 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 + -4i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4i = 0 + 3
-4i = 0 + 3

Combine like terms: 0 + 3 = 3
-4i = 3

Divide each side by '-4'.
i = -0.75

Simplifying
i = -0.75