(x+3i)(3-i)=15+yi

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Solution for (x+3i)(3-i)=15+yi equation: 


Simplifying
(x + 3i)(3 + -1i) = 15 + yi

Reorder the terms:
(3i + x)(3 + -1i) = 15 + yi

Multiply (3i + x) * (3 + -1i)
(3i * (3 + -1i) + x(3 + -1i)) = 15 + yi
((3 * 3i + -1i * 3i) + x(3 + -1i)) = 15 + yi
((9i + -3i2) + x(3 + -1i)) = 15 + yi
(9i + -3i2 + (3 * x + -1i * x)) = 15 + yi

Reorder the terms:
(9i + -3i2 + (-1ix + 3x)) = 15 + yi
(9i + -3i2 + (-1ix + 3x)) = 15 + yi

Reorder the terms:
(9i + -1ix + -3i2 + 3x) = 15 + yi
(9i + -1ix + -3i2 + 3x) = 15 + yi

Solving
9i + -1ix + -3i2 + 3x = 15 + iy

Solving for variable 'i'.

Reorder the terms:
-15 + 9i + -1ix + -1iy + -3i2 + 3x = 15 + iy + -15 + -1iy

Reorder the terms:
-15 + 9i + -1ix + -1iy + -3i2 + 3x = 15 + -15 + iy + -1iy

Combine like terms: 15 + -15 = 0
-15 + 9i + -1ix + -1iy + -3i2 + 3x = 0 + iy + -1iy
-15 + 9i + -1ix + -1iy + -3i2 + 3x = iy + -1iy

Combine like terms: iy + -1iy = 0
-15 + 9i + -1ix + -1iy + -3i2 + 3x = 0

The solution to this equation could not be determined.

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