-5i(4-3i)2=

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Solution for -5i(4-3i)2= equation: 


Simplifying
-5i(4 + -3i) * 2 = 0

Reorder the terms for easier multiplication:
-5 * 2i(4 + -3i) = 0

Multiply -5 * 2
-10i(4 + -3i) = 0
(4 * -10i + -3i * -10i) = 0
(-40i + 30i2) = 0

Solving
-40i + 30i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '10i'.
10i(-4 + 3i) = 0

Ignore the factor 10.

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 '(-4 + 3i)' equal to zero and attempt to solve:

Simplifying
-4 + 3i = 0

Solving
-4 + 3i = 0

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

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

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

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

Divide each side by '3'.
i = 1.333333333

Simplifying
i = 1.333333333
Solution
i = {0, 1.333333333}

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