(2-5i)(4-I)-(3-I)(3+I)=

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Solution for (2-5i)(4-I)-(3-I)(3+I)= equation: 


Simplifying
(2 + -5i)(4 + -1I) + -1(3 + -1I)(3 + I) = 0

Multiply (2 + -5i) * (4 + -1I)
(2(4 + -1I) + -5i * (4 + -1I)) + -1(3 + -1I)(3 + I) = 0
((4 * 2 + -1I * 2) + -5i * (4 + -1I)) + -1(3 + -1I)(3 + I) = 0
((8 + -2I) + -5i * (4 + -1I)) + -1(3 + -1I)(3 + I) = 0
(8 + -2I + (4 * -5i + -1I * -5i)) + -1(3 + -1I)(3 + I) = 0
(8 + -2I + (-20i + 5iI)) + -1(3 + -1I)(3 + I) = 0
(8 + -2I + -20i + 5iI) + -1(3 + -1I)(3 + I) = 0

Multiply (3 + -1I) * (3 + I)
8 + -2I + -20i + 5iI + -1(3(3 + I) + -1I * (3 + I)) = 0
8 + -2I + -20i + 5iI + -1((3 * 3 + I * 3) + -1I * (3 + I)) = 0
8 + -2I + -20i + 5iI + -1((9 + 3I) + -1I * (3 + I)) = 0
8 + -2I + -20i + 5iI + -1(9 + 3I + (3 * -1I + I * -1I)) = 0
8 + -2I + -20i + 5iI + -1(9 + 3I + (-3I + -1I2)) = 0

Combine like terms: 3I + -3I = 0
8 + -2I + -20i + 5iI + -1(9 + 0 + -1I2) = 0
8 + -2I + -20i + 5iI + -1(9 + -1I2) = 0
8 + -2I + -20i + 5iI + (9 * -1 + -1I2 * -1) = 0
8 + -2I + -20i + 5iI + (-9 + 1I2) = 0

Reorder the terms:
8 + -9 + -2I + 1I2 + -20i + 5iI = 0

Combine like terms: 8 + -9 = -1
-1 + -2I + 1I2 + -20i + 5iI = 0

Solving
-1 + -2I + 1I2 + -20i + 5iI = 0

Solving for variable 'I'.

The solution to this equation could not be determined.

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