-4(5i)(-4-3i)=0

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Solution for -4(5i)(-4-3i)=0 equation: 


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

Remove parenthesis around (5i)
-4 * 5i(-4 + -3i) = 0

Multiply -4 * 5
-20i(-4 + -3i) = 0
(-4 * -20i + -3i * -20i) = 0
(80i + 60i2) = 0

Solving
80i + 60i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '20i'.
20i(4 + 3i) = 0

Ignore the factor 20.

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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