(2-i)(-4-2i)=

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

Simplifying
(2 + -1i)(-4 + -2i) = 0

Multiply (2 + -1i) * (-4 + -2i)
(2(-4 + -2i) + -1i * (-4 + -2i)) = 0
((-4 * 2 + -2i * 2) + -1i * (-4 + -2i)) = 0
((-8 + -4i) + -1i * (-4 + -2i)) = 0
(-8 + -4i + (-4 * -1i + -2i * -1i)) = 0
(-8 + -4i + (4i + 2i2)) = 0

Combine like terms: -4i + 4i = 0
(-8 + 0 + 2i2) = 0
(-8 + 2i2) = 0

Solving
-8 + 2i2 = 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 + 2i2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2i2 = 0 + 8
2i2 = 0 + 8

Combine like terms: 0 + 8 = 8
2i2 = 8

Divide each side by '2'.
i2 = 4

Simplifying
i2 = 4

Take the square root of each side:
i = {-2, 2}