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

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

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

Remove parenthesis around (-6i)
-6i(-6 + -1i) = 0
(-6 * -6i + -1i * -6i) = 0
(36i + 6i2) = 0

Solving
36i + 6i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '6i'.
6i(6 + i) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0
Subproblem 2
Set the factor '(6 + i)' equal to zero and attempt to solve:

Simplifying
6 + i = 0

Solving
6 + i = 0

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

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

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

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

Simplifying
i = -6
Solution
i = {0, -6}