SOLUTION: Solve a)4(2m/m+3)^2 + 5(2m/m+3) - 6 = 0 Can you please help me out? Thanks so much in advance:)

Algebra ->  Test -> SOLUTION: Solve a)4(2m/m+3)^2 + 5(2m/m+3) - 6 = 0 Can you please help me out? Thanks so much in advance:)      Log On


   

Question 872291: Solve
a)4(2m/m+3)^2 + 5(2m/m+3) - 6 = 0
Can you please help me out? Thanks so much in advance:)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
4%282m%2F%28m%2B3%29%29%5E2+%2B+5%282m%2F%28m%2B3%29%29+-+6+=+0
let 2m/(m+3)=a
4x^2+5a-6=0
4a^2+8a-3a-6=0
4a(a+2)-3(a+2)=0
(a+2)(4a-3)=0
a= -2 OR a= 3/4
2m/(m+3) =-2
2m=-2m-6
4m=6
m= -3/2
2m/(m+3) 3/4
8m = 3(m+3)
8m=3m+9
5m= 9
m=9/5

m= -3/2 OR 9/5