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\(\cfrac{x+5}{2-x}+2.\cfrac{2-x}{x+5}=3\)
বা, \(\cfrac{x+5}{2-x}+2.\cfrac{2-x}{x+5}=3\)
বা, \(\cfrac{(x+5)^2+2(2-x)^2}{(2-x)(x+5)}=3\)
বা, \(\cfrac{(x^2+10x+25)+2(4-4x+x^2)}{2x+10-x^2-5x}=3\)
বা, \(\cfrac{x^2+10x+25+8-8x+2x^2}{10-x^2-3x}=3\)
বা, \(3x^2+2x+33=30-3x^2-9x\)
বা, \(3x^2+2x+33-30+3x^2+9x=0\)
বা, \(6x^2+11x+3=0\)
বা, \(6x^2+(9+2)x+3=0\)
বা, \(6x^2+9x+2x+3=0\)
বা, \(3x(2x+3)+(2x+3)=0\)
বা, \((2x+3)(3x+1)=0\)

\(\therefore\) হয় \(2x+3=0\) বা, \(x=-\cfrac{3}{2}\)
নয়, \(3x+1=0\) বা, \(x=-\cfrac{1}{3}\)

\(\therefore\) নির্ণেয় সমাধান \(x=-\cfrac{3}{2}\) বা,\(x=-\cfrac{1}{3}\) (Answer)