(2+6i)-(3-4i)=

Solution for (2+6i)-(3-4i)= equation:

Simplifying
(2 + 6i) + -1(3 + -4i) = 0

Remove parenthesis around (2 + 6i)
2 + 6i + -1(3 + -4i) = 0
2 + 6i + (3 * -1 + -4i * -1) = 0
2 + 6i + (-3 + 4i) = 0

Reorder the terms:
2 + -3 + 6i + 4i = 0

Combine like terms: 2 + -3 = -1
-1 + 6i + 4i = 0

Combine like terms: 6i + 4i = 10i
-1 + 10i = 0

Solving
-1 + 10i = 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 + 10i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10i = 0 + 1
10i = 0 + 1

Combine like terms: 0 + 1 = 1
10i = 1

Divide each side by '10'.
i = 0.1

Simplifying
i = 0.1