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

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


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

Multiply (4 + I) * (4 + -1I)
(4(4 + -1I) + I(4 + -1I))(5 + 2i) = 0
((4 * 4 + -1I * 4) + I(4 + -1I))(5 + 2i) = 0
((16 + -4I) + I(4 + -1I))(5 + 2i) = 0
(16 + -4I + (4 * I + -1I * I))(5 + 2i) = 0
(16 + -4I + (4I + -1I2))(5 + 2i) = 0

Combine like terms: -4I + 4I = 0
(16 + 0 + -1I2)(5 + 2i) = 0
(16 + -1I2)(5 + 2i) = 0

Multiply (16 + -1I2) * (5 + 2i)
(16(5 + 2i) + -1I2 * (5 + 2i)) = 0
((5 * 16 + 2i * 16) + -1I2 * (5 + 2i)) = 0
((80 + 32i) + -1I2 * (5 + 2i)) = 0
(80 + 32i + (5 * -1I2 + 2i * -1I2)) = 0
(80 + 32i + (-5I2 + -2iI2)) = 0

Reorder the terms:
(80 + -5I2 + 32i + -2iI2) = 0
(80 + -5I2 + 32i + -2iI2) = 0

Solving
80 + -5I2 + 32i + -2iI2 = 0

Solving for variable 'I'.

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

Add '-80' to each side of the equation.
80 + -5I2 + 32i + -80 + -2iI2 = 0 + -80

Reorder the terms:
80 + -80 + -5I2 + 32i + -2iI2 = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -5I2 + 32i + -2iI2 = 0 + -80
-5I2 + 32i + -2iI2 = 0 + -80

Combine like terms: 0 + -80 = -80
-5I2 + 32i + -2iI2 = -80

Add '-32i' to each side of the equation.
-5I2 + 32i + -32i + -2iI2 = -80 + -32i

Combine like terms: 32i + -32i = 0
-5I2 + 0 + -2iI2 = -80 + -32i
-5I2 + -2iI2 = -80 + -32i

Reorder the terms:
80 + -5I2 + 32i + -2iI2 = -80 + -32i + 80 + 32i

Reorder the terms:
80 + -5I2 + 32i + -2iI2 = -80 + 80 + -32i + 32i

Combine like terms: -80 + 80 = 0
80 + -5I2 + 32i + -2iI2 = 0 + -32i + 32i
80 + -5I2 + 32i + -2iI2 = -32i + 32i

Combine like terms: -32i + 32i = 0
80 + -5I2 + 32i + -2iI2 = 0

The solution to this equation could not be determined.

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