(6+4i)-(8-3i)=

Solution for (6+4i)-(8-3i)= equation:

Simplifying
(6 + 4i) + -1(8 + -3i) = 0

Remove parenthesis around (6 + 4i)
6 + 4i + -1(8 + -3i) = 0
6 + 4i + (8 * -1 + -3i * -1) = 0
6 + 4i + (-8 + 3i) = 0

Reorder the terms:
6 + -8 + 4i + 3i = 0

Combine like terms: 6 + -8 = -2
-2 + 4i + 3i = 0

Combine like terms: 4i + 3i = 7i
-2 + 7i = 0

Solving
-2 + 7i = 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 + 7i = 0 + 2

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

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

Divide each side by '7'.
i = 0.2857142857

Simplifying
i = 0.2857142857