(-1-2i)(6-2i)=

Solution for (-1-2i)(6-2i)= equation:

Simplifying
(-1 + -2i)(6 + -2i) = 0

Multiply (-1 + -2i) * (6 + -2i)
(-1(6 + -2i) + -2i * (6 + -2i)) = 0
((6 * -1 + -2i * -1) + -2i * (6 + -2i)) = 0
((-6 + 2i) + -2i * (6 + -2i)) = 0
(-6 + 2i + (6 * -2i + -2i * -2i)) = 0
(-6 + 2i + (-12i + 4i2)) = 0

Combine like terms: 2i + -12i = -10i
(-6 + -10i + 4i2) = 0

Solving
-6 + -10i + 4i2 = 0

Solving for variable 'i'.

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

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

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

Simplifying
3 + -1i = 0

Solving
3 + -1i = 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 + -1i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1i = 0 + -3
-1i = 0 + -3

Combine like terms: 0 + -3 = -3
-1i = -3

Divide each side by '-1'.
i = 3

Simplifying
i = 3
Solution
i = {-0.5, 3}