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

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

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

Multiply (-2 + -4i) * (-6 + 4i)
(-2(-6 + 4i) + -4i * (-6 + 4i)) = 0
((-6 * -2 + 4i * -2) + -4i * (-6 + 4i)) = 0
((12 + -8i) + -4i * (-6 + 4i)) = 0
(12 + -8i + (-6 * -4i + 4i * -4i)) = 0
(12 + -8i + (24i + -16i2)) = 0

Combine like terms: -8i + 24i = 16i
(12 + 16i + -16i2) = 0

Solving
12 + 16i + -16i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 4i + -4i2) = 0

Factor a trinomial.
4((3 + -2i)(1 + 2i)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -2i)' equal to zero and attempt to solve:

Simplifying
3 + -2i = 0

Solving
3 + -2i = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2i = 0 + -3
-2i = 0 + -3

Combine like terms: 0 + -3 = -3
-2i = -3

Divide each side by '-2'.
i = 1.5

Simplifying
i = 1.5
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 = {1.5, -0.5}