(3-4i)(2+1)=

Solution for (3-4i)(2+1)= equation:

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

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

Reorder the terms for easier multiplication:
3(3 + -4i) = 0
(3 * 3 + -4i * 3) = 0
(9 + -12i) = 0

Solving
9 + -12i = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + -12i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -12i = 0 + -9
-12i = 0 + -9

Combine like terms: 0 + -9 = -9
-12i = -9

Divide each side by '-12'.
i = 0.75

Simplifying
i = 0.75