(7.2+9.6i)(6)=

Solution for (7.2+9.6i)(6)= equation:

Simplifying
(7.2 + 9.6i)(6) = 0

Reorder the terms for easier multiplication:
6(7.2 + 9.6i) = 0
(7.2 * 6 + 9.6i * 6) = 0
(43.2 + 57.6i) = 0

Solving
43.2 + 57.6i = 0

Solving for variable 'i'.

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

Add '-43.2' to each side of the equation.
43.2 + -43.2 + 57.6i = 0 + -43.2

Combine like terms: 43.2 + -43.2 = 0.0
0.0 + 57.6i = 0 + -43.2
57.6i = 0 + -43.2

Combine like terms: 0 + -43.2 = -43.2
57.6i = -43.2

Divide each side by '57.6'.
i = -0.75

Simplifying
i = -0.75