(6-2i)(5+1)=

Solution for (6-2i)(5+1)= equation:

Simplifying
(6 + -2i)(5 + 1) = 0

Combine like terms: 5 + 1 = 6
(6 + -2i)(6) = 0

Reorder the terms for easier multiplication:
6(6 + -2i) = 0
(6 * 6 + -2i * 6) = 0
(36 + -12i) = 0

Solving
36 + -12i = 0

Solving for variable 'i'.

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

Add '-36' to each side of the equation.
36 + -36 + -12i = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -12i = 0 + -36
-12i = 0 + -36

Combine like terms: 0 + -36 = -36
-12i = -36

Divide each side by '-12'.
i = 3

Simplifying
i = 3