6i(9-6i)=

Solution for 6i(9-6i)= equation:

Simplifying
6i(9 + -6i) = 0
(9 * 6i + -6i * 6i) = 0
(54i + -36i2) = 0

Solving
54i + -36i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '18i'.
18i(3 + -2i) = 0

Ignore the factor 18.
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 '(3 + -2i)' equal to zero and attempt to solve:

Simplifying
3 + -2i = 0

Solving
3 + -2i = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2i = 0 + -3
-2i = 0 + -3

Combine like terms: 0 + -3 = -3
-2i = -3

Divide each side by '-2'.
i = 1.5

Simplifying
i = 1.5
Solution
i = {0, 1.5}