-4i(5-5i)=

Solution for -4i(5-5i)= equation:

Simplifying
-4i(5 + -5i) = 0
(5 * -4i + -5i * -4i) = 0
(-20i + 20i2) = 0

Solving
-20i + 20i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '20i'.
20i(-1 + i) = 0

Ignore the factor 20.
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}