(i)(5i)(-1+i)=

Solution for (i)(5i)(-1+i)= equation:

Simplifying
(i)(5i)(-1 + i) = 0

Remove parenthesis around (5i)
i * 5i(-1 + i) = 0

Reorder the terms for easier multiplication:
5i * i(-1 + i) = 0

Multiply i * i
5i2(-1 + i) = 0
(-1 * 5i2 + i * 5i2) = 0
(-5i2 + 5i3) = 0

Solving
-5i2 + 5i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '5i2'.
5i2(-1 + i) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'i2' equal to zero and attempt to solve:

Simplifying
i2 = 0

Solving
i2 = 0

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

Simplifying
i2 = 0

Take the square root of each side:
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}