(2x+5yi)(-1+4i)=9-6i

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Solution for (2x+5yi)(-1+4i)=9-6i equation: 


Simplifying
(2x + 5yi)(-1 + 4i) = 9 + -6i

Reorder the terms:
(5iy + 2x)(-1 + 4i) = 9 + -6i

Multiply (5iy + 2x) * (-1 + 4i)
(5iy * (-1 + 4i) + 2x * (-1 + 4i)) = 9 + -6i
((-1 * 5iy + 4i * 5iy) + 2x * (-1 + 4i)) = 9 + -6i
((-5iy + 20i2y) + 2x * (-1 + 4i)) = 9 + -6i
(-5iy + 20i2y + (-1 * 2x + 4i * 2x)) = 9 + -6i

Reorder the terms:
(-5iy + 20i2y + (8ix + -2x)) = 9 + -6i
(-5iy + 20i2y + (8ix + -2x)) = 9 + -6i

Reorder the terms:
(8ix + -5iy + 20i2y + -2x) = 9 + -6i
(8ix + -5iy + 20i2y + -2x) = 9 + -6i

Solving
8ix + -5iy + 20i2y + -2x = 9 + -6i

Solving for variable 'i'.

Reorder the terms:
-9 + 6i + 8ix + -5iy + 20i2y + -2x = 9 + -6i + -9 + 6i

Reorder the terms:
-9 + 6i + 8ix + -5iy + 20i2y + -2x = 9 + -9 + -6i + 6i

Combine like terms: 9 + -9 = 0
-9 + 6i + 8ix + -5iy + 20i2y + -2x = 0 + -6i + 6i
-9 + 6i + 8ix + -5iy + 20i2y + -2x = -6i + 6i

Combine like terms: -6i + 6i = 0
-9 + 6i + 8ix + -5iy + 20i2y + -2x = 0

The solution to this equation could not be determined.

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