(2+x*i)(4+3i)=(2+14i)

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Solution for (2+x*i)(4+3i)=(2+14i) equation: 


Simplifying
(2 + x * i)(4 + 3i) = (2 + 14i)

Multiply x * i
(2 + ix)(4 + 3i) = (2 + 14i)

Multiply (2 + ix) * (4 + 3i)
(2(4 + 3i) + ix(4 + 3i)) = (2 + 14i)
((4 * 2 + 3i * 2) + ix(4 + 3i)) = (2 + 14i)
((8 + 6i) + ix(4 + 3i)) = (2 + 14i)
(8 + 6i + (4 * ix + 3i * ix)) = (2 + 14i)
(8 + 6i + (4ix + 3i2x)) = (2 + 14i)
(8 + 6i + 4ix + 3i2x) = (2 + 14i)

Remove parenthesis around (2 + 14i)
8 + 6i + 4ix + 3i2x = 2 + 14i

Solving
8 + 6i + 4ix + 3i2x = 2 + 14i

Solving for variable 'i'.

Reorder the terms:
8 + -2 + 6i + -14i + 4ix + 3i2x = 2 + 14i + -2 + -14i

Combine like terms: 8 + -2 = 6
6 + 6i + -14i + 4ix + 3i2x = 2 + 14i + -2 + -14i

Combine like terms: 6i + -14i = -8i
6 + -8i + 4ix + 3i2x = 2 + 14i + -2 + -14i

Reorder the terms:
6 + -8i + 4ix + 3i2x = 2 + -2 + 14i + -14i

Combine like terms: 2 + -2 = 0
6 + -8i + 4ix + 3i2x = 0 + 14i + -14i
6 + -8i + 4ix + 3i2x = 14i + -14i

Combine like terms: 14i + -14i = 0
6 + -8i + 4ix + 3i2x = 0

The solution to this equation could not be determined.

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