(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 + i)(1 + i)) = 0

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

Simplifying
1 + i = 0

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

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

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

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

Simplifying
1 + i = 0

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

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

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

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