SOLUTION: {{{(5/y + 3)^2 + 3(5/y+3)=10 }}} It just says to solve and I believe i start by moving the 3 And then maybe the parenthesis ??? Thank You

Algebra ->  Expressions -> SOLUTION: {{{(5/y + 3)^2 + 3(5/y+3)=10 }}} It just says to solve and I believe i start by moving the 3 And then maybe the parenthesis ??? Thank You       Log On


   

Question 868825: %285%2Fy+%2B+3%29%5E2+%2B+3%285%2Fy%2B3%29=10+

It just says to solve and I believe i start by moving the 3
And then maybe the parenthesis ??? Thank You
Found 2 solutions by mananth, reviewermath:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2Fy+%2B+3%29%5E2+%2B+3%285%2Fy%2B3%29=10+

let+%285%2Fy%29%2B3+=a
a%5E2%2B3a=10

a%5E2%2B3a-10=0
factorize
a%5E2%2B5a-2a-10=0
a%28a%2B5%29-2%28a%2B5%29=0
%28a%2B5%29%28a-2%29=0
either (a+5)=0 OR (a-2)=0
substitute for a
(y/5)+3+5=0
(y/5) = -8
y=-40
OR
(y/5)+3-2=0
(y/5) =-1
y=-5


Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
%285%2Fy+%2B+3%29%5E2+%2B+3%285%2Fy%2B3%29=10+
------------------------------------
A:
Let x = %285%2Fy++%2B++3%29
The original equation becomes
x%5E2+%2B+3x+=+10
x%5E2+%2B+3x+-+10+=+0
Factor the left side.
(x + 5)(x - 2) = 0
x = -5, 2
Therefore, 5%2Fy++%2B++3+=+-5 or 5%2Fy++%2B++3+=+2
5%2Fy++=++-8 or 5%2Fy++=++-1
Answer: y = highlight%28-5%2F8%29 or highlight%28-5%29