SOLUTION: Please help me to find the real solutions of the equation by factoring. x-7/x=48/x+7 it looks very simple but i am stuck ( Thank you

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Question 979878: Please help me to find the real solutions of the equation by factoring.
x-7/x=48/x+7
it looks very simple but i am stuck (
Thank you
Found 2 solutions by Alan3354, Cromlix:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
x-7/x=48/x+7
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Cross multiply
(x-7)(x+7) = 48x
x^2 - 49 = 48x
x^2 - 48x - 49 = 0
(x-49)*(x+1) = 0
x = -1
x = 49

Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website!
Hi there,
(x - 7)/x = 48/x + 7
First sort out denominator
=x(x + 7)
Next cross multiply
(x - 70(x + 7) = (48)(x)
x^2 - 49 = 48x
sort equation into ax^2 + bx + c = 0 form
x^2 - 48x - 49 = 0
Factorise
(x + 1)(x - 49) = 0
So,
x + 1 = 0
x = -1
or
x - 49 = 0
x = 49
Hope this helps:-)