SOLUTION: I'll try one more time... 12/sqrt(5x+6) = sqrt(2x+5) Thanks!

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Question 130537This question is from textbook Introductory Algebra
: I'll try one more time...
12/sqrt(5x+6) = sqrt(2x+5)
Thanks!
 This question is from textbook Introductory Algebra

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!

12/sqrt(5x+6) = sqrt(2x+5)
then
12=sqrt(5x+6)sqrt(2x+5)
then
12^2=(sqrt(5x+6)sqrt(2x+5))^2
then
144=(5x+6)(2x+5)
then
10x^2+37x+30=144
then
10x^2+37x-114=0
then
x+=+%28-37+%2B-+sqrt%28+37%5E2-4%2A10%2A%28-114%29+%29%29%2F%282%2A10%29+
then
x+=+%28-37+%2B-+sqrt%28+5929+%29%29%2F20+
then
x+=+%28-37+%2B-+77%29%2F20+
then x=-5.5 or x=2
but in the original equation x=-5.5 produces a sqrt of a negative number
so the only solution is
x=2