-2i(5+i)=

Solution for -2i(5+i)= equation:

Simplifying
-2i(5 + i) = 0
(5 * -2i + i * -2i) = 0
(-10i + -2i2) = 0

Solving
-10i + -2i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-2i'.
-2i(5 + i) = 0

Ignore the factor -2.
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 '(5 + i)' equal to zero and attempt to solve:

Simplifying
5 + i = 0

Solving
5 + i = 0

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

Add '-5' to each side of the equation.
5 + -5 + i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + i = 0 + -5
i = 0 + -5

Combine like terms: 0 + -5 = -5
i = -5

Simplifying
i = -5
Solution
i = {0, -5}