((1)/(4+3i))*((4-3i)/(4-3i))

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Solution for ((1)/(4+3i))*((4-3i)/(4-3i)) equation: 


D( i )

3*i+4 = 0

4-(3*i) = 0

3*i+4 = 0

3*i+4 = 0

3*i+4 = 0 // - 4

3*i = -4 // : 3

i = -4/3

4-(3*i) = 0

4-(3*i) = 0

4-3*i = 0

4-3*i = 0 // - 4

-3*i = -4 // : -3

i = -4/(-3)

i = 4/3

i in (-oo:-4/3) U (-4/3:4/3) U (4/3:+oo)

(1/(3*i+4))*((4-(3*i))/(4-(3*i))) = 0

(1/(3*i+4))*((4-3*i)/(4-3*i)) = 0

1/(3*i+4) = 0

i belongs to the empty set

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