(9-2i)(3+1)=

Solution for (9-2i)(3+1)= equation:

Simplifying
(9 + -2i)(3 + 1) = 0

Combine like terms: 3 + 1 = 4
(9 + -2i)(4) = 0

Reorder the terms for easier multiplication:
4(9 + -2i) = 0
(9 * 4 + -2i * 4) = 0
(36 + -8i) = 0

Solving
36 + -8i = 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 + -8i = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -8i = 0 + -36
-8i = 0 + -36

Combine like terms: 0 + -36 = -36
-8i = -36

Divide each side by '-8'.
i = 4.5

Simplifying
i = 4.5