(3x+5i)(4-2i)=

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


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

Reorder the terms:
(5i + 3x)(4 + -2i) = 0

Multiply (5i + 3x) * (4 + -2i)
(5i * (4 + -2i) + 3x * (4 + -2i)) = 0
((4 * 5i + -2i * 5i) + 3x * (4 + -2i)) = 0
((20i + -10i2) + 3x * (4 + -2i)) = 0
(20i + -10i2 + (4 * 3x + -2i * 3x)) = 0

Reorder the terms:
(20i + -10i2 + (-6ix + 12x)) = 0
(20i + -10i2 + (-6ix + 12x)) = 0

Reorder the terms:
(20i + -6ix + -10i2 + 12x) = 0
(20i + -6ix + -10i2 + 12x) = 0

Solving
20i + -6ix + -10i2 + 12x = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10i + -3ix + -5i2 + 6x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10i + -3ix + -5i2 + 6x)' equal to zero and attempt to solve:

Simplifying
10i + -3ix + -5i2 + 6x = 0

Solving
10i + -3ix + -5i2 + 6x = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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