Question

Middle term spliting:-

1) x+2=35/x

Answer 1

x+2=35/x
x²+2x=35
x²+2x-35=0
x²+7x-5x-35=0
x(x+7)-5(x+7)=0
(x-5)(x+7)=0

so,

x-5=0 or x+7=0
x=5 or x=-7

Answer 2

Heyya !

x+2=35/x

Taking x to the other side :-

x²+2x = 35

x²+ 2x - 35=0      

Splitting the middle terms :
Product =  -35
Sum =  2
Numbers = 7 , -5

x²+ 2x - 35 =  (x-5)(x+7)


Hence ,
x = 5 , -7