-5i(3-4i)=

Solution for -5i(3-4i)= equation:

Simplifying
-5i(3 + -4i) = 0
(3 * -5i + -4i * -5i) = 0
(-15i + 20i2) = 0

Solving
-15i + 20i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '5i'.
5i(-3 + 4i) = 0

Ignore the factor 5.
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 '(-3 + 4i)' equal to zero and attempt to solve:

Simplifying
-3 + 4i = 0

Solving
-3 + 4i = 0

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

Add '3' to each side of the equation.
-3 + 3 + 4i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4i = 0 + 3
4i = 0 + 3

Combine like terms: 0 + 3 = 3
4i = 3

Divide each side by '4'.
i = 0.75

Simplifying
i = 0.75
Solution
i = {0, 0.75}