1)x-5/x+1=0
x-5=0
x=5. x≠-1
x=5
2)3+2x/x-1=2
3+2x=2(x-1)
3+2x=2x-2
3≠-2
3) (3x-1)(x+2)/2x²+5x+2=0
(3x-1)(x+2)/2x²+4x+x+2=0
(3x-1)(x+2)/2x(x+2)+x+2=0
(3x-1)(x+2)/(x+2)(2x+1)=0
3x-1/2x+1=0
3x-1=0
3x=1
x=1/3
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Answers & Comments
1)x-5/x+1=0
x-5=0
x=5. x≠-1
x=5
2)3+2x/x-1=2
3+2x=2(x-1)
3+2x=2x-2
3≠-2
3) (3x-1)(x+2)/2x²+5x+2=0
(3x-1)(x+2)/2x²+4x+x+2=0
(3x-1)(x+2)/2x(x+2)+x+2=0
(3x-1)(x+2)/(x+2)(2x+1)=0
3x-1/2x+1=0
3x-1=0
3x=1
x=1/3