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

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

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

Reorder the terms:
(-2 + 3i)(6i + 4) = 0

Reorder the terms:
(-2 + 3i)(4 + 6i) = 0

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

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

Solving
-8 + 18i2 = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 8 + 18i2 = 0 + 8

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

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

Divide each side by '18'.
i2 = 0.4444444444

Simplifying
i2 = 0.4444444444

Take the square root of each side:
i = {-0.666666667, 0.666666667}