6i*-4i+8=0

Solution for 6i*-4i+8=0 equation:

Simplifying
6i * -4i + 8 = 0

Reorder the terms for easier multiplication:
6 * -4i * i + 8 = 0

Multiply 6 * -4
-24i * i + 8 = 0

Multiply i * i
-24i2 + 8 = 0

Reorder the terms:
8 + -24i2 = 0

Solving
8 + -24i2 = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + -8 + -24i2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -24i2 = 0 + -8
-24i2 = 0 + -8

Combine like terms: 0 + -8 = -8
-24i2 = -8

Divide each side by '-24'.
i2 = 0.3333333333

Simplifying
i2 = 0.3333333333

Take the square root of each side:
i = {-0.577350269, 0.577350269}