Help! I am trying to explain how to solve this to my daughter and I do not remember how. p+2/p=-3?

is it:

(p+2)/p=-3

or as you have it written?

if it is like above, then multiply both sides by p: p+2=-3p

subtract a p from both sides: 2=-4p

divide both sides by -4 and you get p=-1/2

if you really meant what you wrote, then you would multiply everything by p: p^2+2=-3p

add 3p to both sides: p^2+3p+2=0

factor: (p+2)(p+1)=0

then either p+2=0 or p+1=0, or p=-2 or p=-1

Maybe not the most direct route but...

P + 2/p = -3

p^2+2 = -3p multiply everything by p (clears the fraction) (p^2 = p squared)

p^2 + 3p + 2 = 0 make it a quadratic equation

(p+2)(p+1)=0 factor the quadratic

P= -2 or -1 solve for p

Do you mean (p+2)/p = -3 or p+(2/p) = -3?

For the first one, multiply both sides by p to get

(p+2) = -3p

Then subtract p from both sides to get

2 = -4p

divide both sides by -4 to get

p=2/-4 =-1/2

For the second one, subtract p from both sides to get

(2/p) = -3 - p

multiply both sides by p to get

2 = -3p -p^2

add -3p and -p^2 to both sides to get

p^2 +3p +2 = 0

Then factor the quadratic to get

(p+2)(p+1) = 0

Then solve p for 0

p+2 = 0 and p+1 = 0

p then equals either -2 or -1

if you look at the equation you have P+2/p = 3 the answer is P=1 the solution is as follows

if you subtract 2 from each side of the equation you are left with p/p=1 or looking the second method - if you divide p/p then add 2 to that answer and you have to make it equal 3. p could be any number, but when you divide it into each other it has to equal 1.

p+2/p=-3

p^2+2=-3p

p^2+2+3p=0

p^2+p+2p+2=0

p(p+1)+2(p+1)=0

(p+1)(p+2)=0

p=(-1) or (-2)

answer is p=-1, -2 how?

here it is:

you first find the LCM of the denominators 1 and p which is p

(p^2+2)/p= -3

then cross multiply:

p^2+2=-3p

p^2+3p+2=0

now factorise

p^2+2p+p+2=0

p(p+2)+1(p+2)=0

(p+2)(p+1)=0

therefore, p= -2 and p= -1, that's it...

First of all, it is more prudent to work with less fractions, so we multiply p on both sides.

p+2=-3p Now, we subtract p on both sides

-p -p

2=-4p

/-4 /-4

-1/2=p

Is p+2/p= (p+2)/p or p+(2/p) ??

if (p+2)/p = -3 ---> p+2 = -3p ---> p = ...

if p+(2/p) = - 3 ---> p^2 + 3p + 2 = 0 ----> p = ...