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

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

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

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

Combine like terms: -12i + -8i = -20i
(-12 + -20i + -8i2) = 0

Solving
-12 + -20i + -8i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(3 + 5i + 2i2) = 0

Factor a trinomial.
-4((3 + 2i)(1 + i)) = 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 + i)' equal to zero and attempt to solve:

Simplifying
1 + i = 0

Solving
1 + i = 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 + i = 0 + -1

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

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

Simplifying
i = -1
Solution
i = {-1.5, -1}