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

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

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

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

Combine like terms: 6i + -6i = 0
(-6 + 0 + 6i2) = 0
(-6 + 6i2) = 0

Solving
-6 + 6i2 = 0

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 6 + 6i2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6i2 = 0 + 6
6i2 = 0 + 6

Combine like terms: 0 + 6 = 6
6i2 = 6

Divide each side by '6'.
i2 = 1

Simplifying
i2 = 1

Take the square root of each side:
i = {-1, 1}