3i(6-5i)=0

Solution for 3i(6-5i)=0 equation:

Simplifying
3i(6 + -5i) = 0
(6 * 3i + -5i * 3i) = 0
(18i + -15i2) = 0

Solving
18i + -15i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3i'.
3i(6 + -5i) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0
Subproblem 2
Set the factor '(6 + -5i)' equal to zero and attempt to solve:

Simplifying
6 + -5i = 0

Solving
6 + -5i = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5i = 0 + -6
-5i = 0 + -6

Combine like terms: 0 + -6 = -6
-5i = -6

Divide each side by '-5'.
i = 1.2

Simplifying
i = 1.2
Solution
i = {0, 1.2}