-7i(3-4i)=

Solution for -7i(3-4i)= equation:

Simplifying
-7i(3 + -4i) = 0
(3 * -7i + -4i * -7i) = 0
(-21i + 28i2) = 0

Solving
-21i + 28i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '7i'.
7i(-3 + 4i) = 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 + 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}