(3+4i)(x+yi)=7+26i

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Solution for (3+4i)(x+yi)=7+26i equation: 


Simplifying
(3 + 4i)(x + yi) = 7 + 26i

Reorder the terms:
(3 + 4i)(iy + x) = 7 + 26i

Multiply (3 + 4i) * (iy + x)
(3(iy + x) + 4i * (iy + x)) = 7 + 26i
((iy * 3 + x * 3) + 4i * (iy + x)) = 7 + 26i
((3iy + 3x) + 4i * (iy + x)) = 7 + 26i
(3iy + 3x + (iy * 4i + x * 4i)) = 7 + 26i

Reorder the terms:
(3iy + 3x + (4ix + 4i2y)) = 7 + 26i
(3iy + 3x + (4ix + 4i2y)) = 7 + 26i

Reorder the terms:
(4ix + 3iy + 4i2y + 3x) = 7 + 26i
(4ix + 3iy + 4i2y + 3x) = 7 + 26i

Solving
4ix + 3iy + 4i2y + 3x = 7 + 26i

Solving for variable 'i'.

Reorder the terms:
-7 + -26i + 4ix + 3iy + 4i2y + 3x = 7 + 26i + -7 + -26i

Reorder the terms:
-7 + -26i + 4ix + 3iy + 4i2y + 3x = 7 + -7 + 26i + -26i

Combine like terms: 7 + -7 = 0
-7 + -26i + 4ix + 3iy + 4i2y + 3x = 0 + 26i + -26i
-7 + -26i + 4ix + 3iy + 4i2y + 3x = 26i + -26i

Combine like terms: 26i + -26i = 0
-7 + -26i + 4ix + 3iy + 4i2y + 3x = 0

The solution to this equation could not be determined.

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