(6i)(-5-6i)+(6i)(5-6i)=

Solution for (6i)(-5-6i)+(6i)(5-6i)= equation:

Simplifying
(6i)(-5 + -6i) + (6i)(5 + -6i) = 0

Remove parenthesis around (6i)
6i(-5 + -6i) + (6i)(5 + -6i) = 0
(-5 * 6i + -6i * 6i) + (6i)(5 + -6i) = 0
(-30i + -36i2) + (6i)(5 + -6i) = 0

Remove parenthesis around (6i)
-30i + -36i2 + 6i(5 + -6i) = 0
-30i + -36i2 + (5 * 6i + -6i * 6i) = 0
-30i + -36i2 + (30i + -36i2) = 0

Reorder the terms:
-30i + 30i + -36i2 + -36i2 = 0

Combine like terms: -30i + 30i = 0
0 + -36i2 + -36i2 = 0
-36i2 + -36i2 = 0

Combine like terms: -36i2 + -36i2 = -72i2
-72i2 = 0

Solving
-72i2 = 0

Solving for variable 'i'.

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

Divide each side by '-72'.
i2 = 0

Simplifying
i2 = 0

Take the square root of each side:
i = {0}