Solve the following quadratic equations by factorization: `(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`

Solve the following quadratic equations by factorization: x^2+5x+6=0

Solve the following quadratic equations by factorization method: 1/(x-2)+2/(x-1)=6/x

Solve the following quadratic equations by factorization method: (x+3)/(x-2)-(1-x)/x=(17)/4

Solve the following quadratic equations by factorization method: (i) x^2+(a/(a+b)+(a+b)/a)x+1=0 (ii) x^2+x-(x+1)(a+2)=0 (iii) x^2+3x-(a^2+a-2)=0 (iv) a^2b^2x^2+b^2x-a^2x-1=0

Solve the following quadratic equations by factorization method: x/(x+1)+(x+1)/x=(34)/(15),x!=0,x!=-1

Solve the following quadratic equation by factorization method: \ \ x^2+(1-2i)x-2i=0

Solve the following quadratic equations by factorization method: 1/(a+b+x)=1/a+1/b+1/x ,\ \ a+b!=0

Solve by factorization: a/(x-a)+b/(x-b)=(2c)/(x-c)

Solve the following quadratic equations by factorization method. x^2+2sqrt(2)x-6=0

Solve the following quadratic equation by factorization method only: x^2+x+1=0