(3-2i)(6+4i)=

Solution for (3-2i)(6+4i)= equation:

Simplifying
(3 + -2i)(6 + 4i) = 0

Multiply (3 + -2i) * (6 + 4i)
(3(6 + 4i) + -2i * (6 + 4i)) = 0
((6 * 3 + 4i * 3) + -2i * (6 + 4i)) = 0
((18 + 12i) + -2i * (6 + 4i)) = 0
(18 + 12i + (6 * -2i + 4i * -2i)) = 0
(18 + 12i + (-12i + -8i2)) = 0

Combine like terms: 12i + -12i = 0
(18 + 0 + -8i2) = 0
(18 + -8i2) = 0

Solving
18 + -8i2 = 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 + -8i2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -8i2 = 0 + -18
-8i2 = 0 + -18

Combine like terms: 0 + -18 = -18
-8i2 = -18

Divide each side by '-8'.
i2 = 2.25

Simplifying
i2 = 2.25

Take the square root of each side:
i = {-1.5, 1.5}