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

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

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

Multiply (6 + -6i) * (6 + -6i)
(6(6 + -6i) + -6i * (6 + -6i)) = 0
((6 * 6 + -6i * 6) + -6i * (6 + -6i)) = 0
((36 + -36i) + -6i * (6 + -6i)) = 0
(36 + -36i + (6 * -6i + -6i * -6i)) = 0
(36 + -36i + (-36i + 36i2)) = 0

Combine like terms: -36i + -36i = -72i
(36 + -72i + 36i2) = 0

Solving
36 + -72i + 36i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '36'.
36(1 + -2i + i2) = 0

Factor a trinomial.
36((1 + -1i)(1 + -1i)) = 0

Ignore the factor 36.
Subproblem 1
Set the factor '(1 + -1i)' equal to zero and attempt to solve:

Simplifying
1 + -1i = 0

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

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

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

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

Simplifying
i = 1
Subproblem 2
Set the factor '(1 + -1i)' equal to zero and attempt to solve:

Simplifying
1 + -1i = 0

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

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

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

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

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