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

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


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

Multiply (2 + I) * (4 + 5i)
(2(4 + 5i) + I(4 + 5i)) = 0
((4 * 2 + 5i * 2) + I(4 + 5i)) = 0
((8 + 10i) + I(4 + 5i)) = 0
(8 + 10i + (4 * I + 5i * I)) = 0
(8 + 10i + (4I + 5iI)) = 0

Reorder the terms:
(8 + 4I + 10i + 5iI) = 0
(8 + 4I + 10i + 5iI) = 0

Solving
8 + 4I + 10i + 5iI = 0

Solving for variable 'I'.

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

Add '-8' to each side of the equation.
8 + 4I + 10i + -8 + 5iI = 0 + -8

Reorder the terms:
8 + -8 + 4I + 10i + 5iI = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 4I + 10i + 5iI = 0 + -8
4I + 10i + 5iI = 0 + -8

Combine like terms: 0 + -8 = -8
4I + 10i + 5iI = -8

Add '-10i' to each side of the equation.
4I + 10i + -10i + 5iI = -8 + -10i

Combine like terms: 10i + -10i = 0
4I + 0 + 5iI = -8 + -10i
4I + 5iI = -8 + -10i

Reorder the terms:
8 + 4I + 10i + 5iI = -8 + -10i + 8 + 10i

Reorder the terms:
8 + 4I + 10i + 5iI = -8 + 8 + -10i + 10i

Combine like terms: -8 + 8 = 0
8 + 4I + 10i + 5iI = 0 + -10i + 10i
8 + 4I + 10i + 5iI = -10i + 10i

Combine like terms: -10i + 10i = 0
8 + 4I + 10i + 5iI = 0

The solution to this equation could not be determined.

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