(x-iy)(a-ib)=i^5

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Solution for (x-iy)(a-ib)=i^5 equation: 


Simplifying
(x + -1iy)(a + -1ib) = i5

Reorder the terms:
(-1iy + x)(a + -1ib) = i5

Multiply (-1iy + x) * (a + -1bi)
(-1iy * (a + -1bi) + x(a + -1bi)) = i5
((a * -1iy + -1bi * -1iy) + x(a + -1bi)) = i5
((-1aiy + 1bi2y) + x(a + -1bi)) = i5
(-1aiy + 1bi2y + (a * x + -1bi * x)) = i5
(-1aiy + 1bi2y + (ax + -1bix)) = i5

Reorder the terms:
(-1aiy + ax + -1bix + 1bi2y) = i5
(-1aiy + ax + -1bix + 1bi2y) = i5

Solving
-1aiy + ax + -1bix + 1bi2y = i5

Solving for variable 'a'.

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

Add 'bix' to each side of the equation.
-1aiy + ax + -1bix + bix + 1bi2y = bix + i5

Combine like terms: -1bix + bix = 0
-1aiy + ax + 0 + 1bi2y = bix + i5
-1aiy + ax + 1bi2y = bix + i5

Add '-1bi2y' to each side of the equation.
-1aiy + ax + 1bi2y + -1bi2y = bix + -1bi2y + i5

Combine like terms: 1bi2y + -1bi2y = 0
-1aiy + ax + 0 = bix + -1bi2y + i5
-1aiy + ax = bix + -1bi2y + i5

Reorder the terms:
-1aiy + ax + -1bix + bi2y + -1i5 = bix + -1bix + -1bi2y + bi2y + i5 + -1i5

Combine like terms: bix + -1bix = 0
-1aiy + ax + -1bix + bi2y + -1i5 = 0 + -1bi2y + bi2y + i5 + -1i5
-1aiy + ax + -1bix + bi2y + -1i5 = -1bi2y + bi2y + i5 + -1i5

Combine like terms: -1bi2y + bi2y = 0
-1aiy + ax + -1bix + bi2y + -1i5 = 0 + i5 + -1i5
-1aiy + ax + -1bix + bi2y + -1i5 = i5 + -1i5

Combine like terms: i5 + -1i5 = 0
-1aiy + ax + -1bix + bi2y + -1i5 = 0

The solution to this equation could not be determined.

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