7i(3-5i)=

Solution for 7i(3-5i)= equation:

Simplifying
7i(3 + -5i) = 0
(3 * 7i + -5i * 7i) = 0
(21i + -35i2) = 0

Solving
21i + -35i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '7i'.
7i(3 + -5i) = 0

Ignore the factor 7.
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 + -5i)' equal to zero and attempt to solve:

Simplifying
3 + -5i = 0

Solving
3 + -5i = 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 + -5i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5i = 0 + -3
-5i = 0 + -3

Combine like terms: 0 + -3 = -3
-5i = -3

Divide each side by '-5'.
i = 0.6

Simplifying
i = 0.6
Solution
i = {0, 0.6}