Question

solve for x

Answer 1

\[\frac{ 2 }{ x^2+5x+6 }-\frac{ 2 }{ x+2 }=\frac{ 1 }{x+3}\]

Answer 2

no solutions right?

Answer 3

Explain to me why it would be no solutions

Answer 4

Can you please show or explain to us how you arrived at no solutions?

Answer 5

\[\frac{ 2 }{ (x+3)(x-2) }\], would cancel out the other denominators and 2-2=1 is incorrect

Answer 6

sorry (x+2)

Answer 7

At first glance, I don't see it cancelling out exactly. Give me a sec to double check on paper

Answer 8

no rush

Answer 9

ok, so, we do \[\frac{ 2 }{ x^2+5x+6 }-\frac{ 2(x+3) }{ (x+2)(x+3) }=\frac{ 1(x+2)}{ (x+2)(x+3)}\]

Answer 10

so are you seeing why we don't just get 2-2?

Answer 11

we have to do the same thing to the top and bottom

Answer 12

yup

Answer 13

wanna give it another go?

Answer 14

no I understand now, thank you

Answer 15

It is true that there is no solutions.

Answer 16

Agreed with @Vuriffy . Very interesting problem though