(i)(5i)(-3-5i)=

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


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

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

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

Multiply i * i
5i2(-3 + -5i) = 0
(-3 * 5i2 + -5i * 5i2) = 0
(-15i2 + -25i3) = 0

Solving
-15i2 + -25i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-5i2'.
-5i2(3 + 5i) = 0

Ignore the factor -5.

Subproblem 1
Set the factor 'i2' equal to zero and attempt to solve:

Simplifying
i2 = 0

Solving
i2 = 0

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

Simplifying
i2 = 0

Take the square root of each side:
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}

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