Solve each of the following quadratic equations:
`(1)/(x-2)+(2)/(x-1)=(6)/(x),xne0,1,2`

Solve each of the following quadratic equations: (i) (1)/(x-1)-(1)/(x+5)=(6)/(7),xne1,-5 (ii) (1)/(2x-3)+(1)/(x-5)=1(1)/(9),xne(3)/(2),5

Solve each of the following quadratic equations: (i) (x)/(x-1)+(x-1)/(x)=4(1)/(4),xne0,1 (ii) (x-1)/(2x+1)+(2x+1)/(x-1)=2,xne-(1)/(2),1

Solve each of the following quadratic equations: (i) (1)/(x+1)+(2)/(x+2)=(5)/(x+4),xne-1,-2,-4 (ii) (1)/(x+1)+(3)/(5x+1)=(5)/(x+4),xne-1,-(1)/(5),-4

Solve each of the following quadratic equations: 2x^(2)+x-6=0

Solve each of the following quadratic equations: (x+3)/(x-2)-(1-x)/(x)=4(1)/(4),xne2,0

Solve each of the following quadratic equations: (x-1)/(x-2)+(x-3)/(x-4)=3(1)/(3),xne2,4

Solve each of the following quadratic equations: (2x-3)(3x+1)=0

Solve each of the following quadratic equations: (x)/(x+1)+(x+1)/(x)=2(4)/(15),xne.0,-1

Solve each of the following quadratic equations: 3x^(2)-2x-1=0

Solve each of the following quadratic equations: (x-4)/(x-5)+(x-6)/(x-7)=3(1)/(3),xne5,7