3i(-1+6i)=

Solution for 3i(-1+6i)= equation:

Simplifying
3i(-1 + 6i) = 0
(-1 * 3i + 6i * 3i) = 0
(-3i + 18i2) = 0

Solving
-3i + 18i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3i'.
3i(-1 + 6i) = 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 '(-1 + 6i)' equal to zero and attempt to solve:

Simplifying
-1 + 6i = 0

Solving
-1 + 6i = 0

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

Add '1' to each side of the equation.
-1 + 1 + 6i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6i = 0 + 1
6i = 0 + 1

Combine like terms: 0 + 1 = 1
6i = 1

Divide each side by '6'.
i = 0.1666666667

Simplifying
i = 0.1666666667
Solution
i = {0, 0.1666666667}