6i(3i-9)=

Solution for 6i(3i-9)= equation:

Simplifying
6i(3i + -9) = 0

Reorder the terms:
6i(-9 + 3i) = 0
(-9 * 6i + 3i * 6i) = 0
(-54i + 18i2) = 0

Solving
-54i + 18i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '18i'.
18i(-3 + i) = 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 + i)' equal to zero and attempt to solve:

Simplifying
-3 + i = 0

Solving
-3 + i = 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 + i = 0 + 3

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

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

Simplifying
i = 3
Solution
i = {0, 3}