(3i)(-1+i)=

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

Simplifying
(3i)(-1 + i) = 0

Remove parenthesis around (3i)
3i(-1 + i) = 0
(-1 * 3i + i * 3i) = 0
(-3i + 3i2) = 0

Solving
-3i + 3i2 = 0

Solving for variable 'i'.

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

Simplifying
-1 + i = 0

Solving
-1 + i = 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 + i = 0 + 1

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

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

Simplifying
i = 1
Solution
i = {0, 1}