12+8i(-2i)=0

Solution for 12+8i(-2i)=0 equation:

Simplifying
12 + 8i(-2i) = 0

Remove parenthesis around (-2i)
12 + 8i * -2i = 0

Reorder the terms for easier multiplication:
12 + 8 * -2i * i = 0

Multiply 8 * -2
12 + -16i * i = 0

Multiply i * i
12 + -16i2 = 0

Solving
12 + -16i2 = 0

Solving for variable 'i'.

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

Add '-12' to each side of the equation.
12 + -12 + -16i2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -16i2 = 0 + -12
-16i2 = 0 + -12

Combine like terms: 0 + -12 = -12
-16i2 = -12

Divide each side by '-16'.
i2 = 0.75

Simplifying
i2 = 0.75

Take the square root of each side:
i = {-0.866025404, 0.866025404}