(4-7i)-(3+4i)=

Solution for (4-7i)-(3+4i)= equation:

Simplifying
(4 + -7i) + -1(3 + 4i) = 0

Remove parenthesis around (4 + -7i)
4 + -7i + -1(3 + 4i) = 0
4 + -7i + (3 * -1 + 4i * -1) = 0
4 + -7i + (-3 + -4i) = 0

Reorder the terms:
4 + -3 + -7i + -4i = 0

Combine like terms: 4 + -3 = 1
1 + -7i + -4i = 0

Combine like terms: -7i + -4i = -11i
1 + -11i = 0

Solving
1 + -11i = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1 + -11i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -11i = 0 + -1
-11i = 0 + -1

Combine like terms: 0 + -1 = -1
-11i = -1

Divide each side by '-11'.
i = 0.09090909091

Simplifying
i = 0.09090909091