SOLUTION: solve: (1/x)-(x/(2x+3))=0

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Question 499357: solve: (1/x)-(x/(2x+3))=0
Found 2 solutions by oberobic, MathLover1:
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Rearrange:
1/x = x/(2x+3)
.
Cross multiply:
2x+3 = x^2
x^2 -2x -3 = 0
.
Factor
(x-3)(x+1) = 0
.
So, x=3 or x=-1.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2Fx%29-%28x%2F%282x%2B3%29%29=0

%281%282x%2B3%29%2Fx%282x%2B3%29%29-%28x%2Ax%2Fx%282x%2B3%29%29=0

%282x%2B3-x%5E2%29%2Fx%282x%2B3%29=0

%282x%2B3-x%5E2%29=0%2Ax%282x%2B3%29

-x%5E2%2B2x%2B3=0..replace 2x with -x%2B3x

-x%5E2-x%2B3x%2B3=0

-%28x%5E2%2Bx%29%2B%283x%2B3%29=0

-x%28x%2B1%29%2B3%28x%2B1%29=0

%28-x%2B3%29%28x%2B1%29=0
solutions:
%28-x%2B3%29=0.....->....3=x...or x=3
x%2B1=0.....->....x=-1



+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2Fx%29-%28x%2F%282x%2B3%29%29%29+