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

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

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

Remove parenthesis around (-4i)
2 * -4i(-3 + -6i) = 0

Multiply 2 * -4
-8i(-3 + -6i) = 0
(-3 * -8i + -6i * -8i) = 0
(24i + 48i2) = 0

Solving
24i + 48i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '24i'.
24i(1 + 2i) = 0

Ignore the factor 24.
Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0
Subproblem 2
Set the factor '(1 + 2i)' equal to zero and attempt to solve:

Simplifying
1 + 2i = 0

Solving
1 + 2i = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2i = 0 + -1
2i = 0 + -1

Combine like terms: 0 + -1 = -1
2i = -1

Divide each side by '2'.
i = -0.5

Simplifying
i = -0.5
Solution
i = {0, -0.5}