How do you solve (2x)/(x-3)=(3x)/(x^2-9)+2?

1 Answer
maganbhai P.
Mar 14, 2018

x=-6

Explanation:

(2x)/(x-3)=(3x)/(x^2-9)+2
=>(2x)/(x-3)=(3x)/((x-3)(x+3))+2/1
=>((2x)(x+3))/((x-3)(x+3))=(3x(1))/((x-3)(x+3))+(2(x-3)(x+3))/((x-3)(x+3)
=>2x(x+3)=3x+2(x^2-9)
=>cancel(2x^2)+6x=3x+cancel(2x^2)-18
=>6x=3x-18
=>3x=-18=>x=-6

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