(3+7i)-(9-8i)=

Solution for (3+7i)-(9-8i)= equation:

Simplifying
(3 + 7i) + -1(9 + -8i) = 0

Remove parenthesis around (3 + 7i)
3 + 7i + -1(9 + -8i) = 0
3 + 7i + (9 * -1 + -8i * -1) = 0
3 + 7i + (-9 + 8i) = 0

Reorder the terms:
3 + -9 + 7i + 8i = 0

Combine like terms: 3 + -9 = -6
-6 + 7i + 8i = 0

Combine like terms: 7i + 8i = 15i
-6 + 15i = 0

Solving
-6 + 15i = 0

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 6 + 15i = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 15i = 0 + 6
15i = 0 + 6

Combine like terms: 0 + 6 = 6
15i = 6

Divide each side by '15'.
i = 0.4

Simplifying
i = 0.4