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Find all values of $x$ such that
\frac{2x}{x + 2} = \frac{x}{x - 4}.
If you find more than one value, then list your solutions, separated by commas.

 Nov 12, 2023
 #1
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2x/(x+2) = x/(x-4)

 

Get rid of the divisors

2x(x-4) = x(x+2)

 

Expand

2x^2 - 8x = x^2 +2x

 

Collecting like terms

x^2 - 10x = 0

 

Factoring

x(x-10) = 0

 

x=0, x=10

 Nov 12, 2023

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