(1-7i)-(3+2i)=

Solution for (1-7i)-(3+2i)= equation:

Simplifying
(1 + -7i) + -1(3 + 2i) = 0

Remove parenthesis around (1 + -7i)
1 + -7i + -1(3 + 2i) = 0
1 + -7i + (3 * -1 + 2i * -1) = 0
1 + -7i + (-3 + -2i) = 0

Reorder the terms:
1 + -3 + -7i + -2i = 0

Combine like terms: 1 + -3 = -2
-2 + -7i + -2i = 0

Combine like terms: -7i + -2i = -9i
-2 + -9i = 0

Solving
-2 + -9i = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 2 + -9i = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9i = 0 + 2
-9i = 0 + 2

Combine like terms: 0 + 2 = 2
-9i = 2

Divide each side by '-9'.
i = -0.2222222222

Simplifying
i = -0.2222222222