(6+4i)-(7+8i)=

Solution for (6+4i)-(7+8i)= equation:

Simplifying
(6 + 4i) + -1(7 + 8i) = 0

Remove parenthesis around (6 + 4i)
6 + 4i + -1(7 + 8i) = 0
6 + 4i + (7 * -1 + 8i * -1) = 0
6 + 4i + (-7 + -8i) = 0

Reorder the terms:
6 + -7 + 4i + -8i = 0

Combine like terms: 6 + -7 = -1
-1 + 4i + -8i = 0

Combine like terms: 4i + -8i = -4i
-1 + -4i = 0

Solving
-1 + -4i = 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 + -4i = 0 + 1

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

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

Divide each side by '-4'.
i = -0.25

Simplifying
i = -0.25