-3i(7I-5)=0

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Solution for -3i(7I-5)=0 equation: 


Simplifying
-3i(7I + -5) = 0

Reorder the terms:
-3i(-5 + 7I) = 0
(-5 * -3i + 7I * -3i) = 0
(15i + -21iI) = 0

Solving
15i + -21iI = 0

Solving for variable 'i'.

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

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

Ignore the factor 3.

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 '(5 + -7I)' equal to zero and attempt to solve:

Simplifying
5 + -7I = 0

Solving
5 + -7I = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7I = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7I = 0 + -5
-7I = 0 + -5

Combine like terms: 0 + -5 = -5
-7I = -5

Add '7I' to each side of the equation.
-7I + 7I = -5 + 7I

Combine like terms: -7I + 7I = 0
0 = -5 + 7I

Simplifying
0 = -5 + 7I

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
i = {0}

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