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

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


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

Multiply (4 + -3i) * (2 + -1I)
(4(2 + -1I) + -3i * (2 + -1I)) + -1(4 + -1I)(4 + I) = 0
((2 * 4 + -1I * 4) + -3i * (2 + -1I)) + -1(4 + -1I)(4 + I) = 0
((8 + -4I) + -3i * (2 + -1I)) + -1(4 + -1I)(4 + I) = 0
(8 + -4I + (2 * -3i + -1I * -3i)) + -1(4 + -1I)(4 + I) = 0
(8 + -4I + (-6i + 3iI)) + -1(4 + -1I)(4 + I) = 0
(8 + -4I + -6i + 3iI) + -1(4 + -1I)(4 + I) = 0

Multiply (4 + -1I) * (4 + I)
8 + -4I + -6i + 3iI + -1(4(4 + I) + -1I * (4 + I)) = 0
8 + -4I + -6i + 3iI + -1((4 * 4 + I * 4) + -1I * (4 + I)) = 0
8 + -4I + -6i + 3iI + -1((16 + 4I) + -1I * (4 + I)) = 0
8 + -4I + -6i + 3iI + -1(16 + 4I + (4 * -1I + I * -1I)) = 0
8 + -4I + -6i + 3iI + -1(16 + 4I + (-4I + -1I2)) = 0

Combine like terms: 4I + -4I = 0
8 + -4I + -6i + 3iI + -1(16 + 0 + -1I2) = 0
8 + -4I + -6i + 3iI + -1(16 + -1I2) = 0
8 + -4I + -6i + 3iI + (16 * -1 + -1I2 * -1) = 0
8 + -4I + -6i + 3iI + (-16 + 1I2) = 0

Reorder the terms:
8 + -16 + -4I + 1I2 + -6i + 3iI = 0

Combine like terms: 8 + -16 = -8
-8 + -4I + 1I2 + -6i + 3iI = 0

Solving
-8 + -4I + 1I2 + -6i + 3iI = 0

Solving for variable 'I'.

The solution to this equation could not be determined.

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