2x-yi=(5-I)(5-I)

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Solution for 2x-yi=(5-I)(5-I) equation: 


Simplifying
2x + -1yi = (5 + -1I)(5 + -1I)

Reorder the terms:
-1iy + 2x = (5 + -1I)(5 + -1I)

Multiply (5 + -1I) * (5 + -1I)
-1iy + 2x = (5(5 + -1I) + -1I * (5 + -1I))
-1iy + 2x = ((5 * 5 + -1I * 5) + -1I * (5 + -1I))
-1iy + 2x = ((25 + -5I) + -1I * (5 + -1I))
-1iy + 2x = (25 + -5I + (5 * -1I + -1I * -1I))
-1iy + 2x = (25 + -5I + (-5I + 1I2))

Combine like terms: -5I + -5I = -10I
-1iy + 2x = (25 + -10I + 1I2)

Solving
-1iy + 2x = 25 + -10I + 1I2

Solving for variable 'i'.

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

Add '-2x' to each side of the equation.
-1iy + 2x + -2x = 25 + -10I + 1I2 + -2x

Combine like terms: 2x + -2x = 0
-1iy + 0 = 25 + -10I + 1I2 + -2x
-1iy = 25 + -10I + 1I2 + -2x

Divide each side by '-1y'.
i = -25y-1 + 10y-1I + -1y-1I2 + 2xy-1

Simplifying
i = -25y-1 + 10y-1I + -1y-1I2 + 2xy-1

Reorder the terms:
i = 2xy-1 + -25y-1 + 10y-1I + -1y-1I2

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