(x+yi)(2-4i)=14-8i

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Solution for (x+yi)(2-4i)=14-8i equation: 


Simplifying
(x + yi)(2 + -4i) = 14 + -8i

Reorder the terms:
(iy + x)(2 + -4i) = 14 + -8i

Multiply (iy + x) * (2 + -4i)
(iy(2 + -4i) + x(2 + -4i)) = 14 + -8i
((2 * iy + -4i * iy) + x(2 + -4i)) = 14 + -8i
((2iy + -4i2y) + x(2 + -4i)) = 14 + -8i
(2iy + -4i2y + (2 * x + -4i * x)) = 14 + -8i

Reorder the terms:
(2iy + -4i2y + (-4ix + 2x)) = 14 + -8i
(2iy + -4i2y + (-4ix + 2x)) = 14 + -8i

Reorder the terms:
(-4ix + 2iy + -4i2y + 2x) = 14 + -8i
(-4ix + 2iy + -4i2y + 2x) = 14 + -8i

Solving
-4ix + 2iy + -4i2y + 2x = 14 + -8i

Solving for variable 'i'.

Reorder the terms:
-14 + 8i + -4ix + 2iy + -4i2y + 2x = 14 + -8i + -14 + 8i

Reorder the terms:
-14 + 8i + -4ix + 2iy + -4i2y + 2x = 14 + -14 + -8i + 8i

Combine like terms: 14 + -14 = 0
-14 + 8i + -4ix + 2iy + -4i2y + 2x = 0 + -8i + 8i
-14 + 8i + -4ix + 2iy + -4i2y + 2x = -8i + 8i

Combine like terms: -8i + 8i = 0
-14 + 8i + -4ix + 2iy + -4i2y + 2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 4i + -2ix + iy + -2i2y + x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 4i + -2ix + iy + -2i2y + x)' equal to zero and attempt to solve:

Simplifying
-7 + 4i + -2ix + iy + -2i2y + x = 0

Solving
-7 + 4i + -2ix + iy + -2i2y + x = 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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