(-6+4i)(2+1)=

Solution for (-6+4i)(2+1)= equation:

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

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

Reorder the terms for easier multiplication:
3(-6 + 4i) = 0
(-6 * 3 + 4i * 3) = 0
(-18 + 12i) = 0

Solving
-18 + 12i = 0

Solving for variable 'i'.

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

Add '18' to each side of the equation.
-18 + 18 + 12i = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 12i = 0 + 18
12i = 0 + 18

Combine like terms: 0 + 18 = 18
12i = 18

Divide each side by '12'.
i = 1.5

Simplifying
i = 1.5