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

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Solution for (4-3i)(1-I)-(2-I)(2+I)= equation:


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

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

Multiply (2 + -1I) * (2 + I)
4 + -4I + -3i + 3iI + -1(2(2 + I) + -1I * (2 + I)) = 0
4 + -4I + -3i + 3iI + -1((2 * 2 + I * 2) + -1I * (2 + I)) = 0
4 + -4I + -3i + 3iI + -1((4 + 2I) + -1I * (2 + I)) = 0
4 + -4I + -3i + 3iI + -1(4 + 2I + (2 * -1I + I * -1I)) = 0
4 + -4I + -3i + 3iI + -1(4 + 2I + (-2I + -1I2)) = 0

Combine like terms: 2I + -2I = 0
4 + -4I + -3i + 3iI + -1(4 + 0 + -1I2) = 0
4 + -4I + -3i + 3iI + -1(4 + -1I2) = 0
4 + -4I + -3i + 3iI + (4 * -1 + -1I2 * -1) = 0
4 + -4I + -3i + 3iI + (-4 + 1I2) = 0

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

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

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

Solving for variable 'I'.

The solution to this equation could not be determined.

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