5i(8-8i)=

Solution for 5i(8-8i)= equation:

Simplifying
5i(8 + -8i) = 0
(8 * 5i + -8i * 5i) = 0
(40i + -40i2) = 0

Solving
40i + -40i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '40i'.
40i(1 + -1i) = 0

Ignore the factor 40.
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 + -1i)' equal to zero and attempt to solve:

Simplifying
1 + -1i = 0

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

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

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

Divide each side by '-1'.
i = 1

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