(5+3i)=(u+vip+2i)

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Solution for (5+3i)=(u+vip+2i) equation:


Simplifying
(5 + 3i) = (u + vip + 2i)

Remove parenthesis around (5 + 3i)
5 + 3i = (u + vip + 2i)

Reorder the terms:
5 + 3i = (2i + ipv + u)

Remove parenthesis around (2i + ipv + u)
5 + 3i = 2i + ipv + u

Solving
5 + 3i = 2i + ipv + u

Solving for variable 'i'.

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

Add '-2i' to each side of the equation.
5 + 3i + -2i = 2i + ipv + -2i + u

Combine like terms: 3i + -2i = 1i
5 + 1i = 2i + ipv + -2i + u

Reorder the terms:
5 + 1i = 2i + -2i + ipv + u

Combine like terms: 2i + -2i = 0
5 + 1i = 0 + ipv + u
5 + 1i = ipv + u

Add '-1ipv' to each side of the equation.
5 + 1i + -1ipv = ipv + -1ipv + u

Combine like terms: ipv + -1ipv = 0
5 + 1i + -1ipv = 0 + u
5 + 1i + -1ipv = u

Add '-5' to each side of the equation.
5 + 1i + -5 + -1ipv = -5 + u

Reorder the terms:
5 + -5 + 1i + -1ipv = -5 + u

Combine like terms: 5 + -5 = 0
0 + 1i + -1ipv = -5 + u
1i + -1ipv = -5 + u

Reorder the terms:
5 + 1i + -1ipv + -1u = -5 + u + 5 + -1u

Reorder the terms:
5 + 1i + -1ipv + -1u = -5 + 5 + u + -1u

Combine like terms: -5 + 5 = 0
5 + 1i + -1ipv + -1u = 0 + u + -1u
5 + 1i + -1ipv + -1u = u + -1u

Combine like terms: u + -1u = 0
5 + 1i + -1ipv + -1u = 0

The solution to this equation could not be determined.

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