1. X(2X+1)=3(2X+1)
X(2X+1)-3(2X+1)=0
(2X+1)(X-3)=0
X=-1/2,X=3
2. (X-2)^2=2-X
(X-2)^2+(X-2)=0
(X-2)(X+1)=0
X=2,X=-1
3. X(2X-1)=3(1-2X)
X(2X-1)+3(2X-1)=0
(2X-1)(X+3)=0
X=1/2,X=-3
4. X^2-3X-10=0
X^2-5X+2X-10=0
X(X-5)+2(X-5)=0
(X-5)(X+2)=0
X=5,X=-2
5.(X-3)(X+7)= -9
X^2+4X-21+9=0
X^2+4X-12=0
X^2+6X-2X-12=0
X(X+6)-2(X+6)=0
(X+6)(X-2)=0
X=-6,X=2
6. (3Y-2)^2=(2Y-3)^2
(3Y-2)^2-(2Y-3)^2=0
[(3Y-2)+(2Y-3)][(3Y-2)-(2Y-3)]=0
(5Y-5)(Y+1)=0
Y=1,Y=-1
7.(2Y+1)^2-8(2Y+1)+15=0
(2Y+1-3)(2Y+1-5)=0
4(Y-1)(Y-2)=0
Y=1,Y=2
8. (X-1)^2=2X(1-X)
(X-1)^2+2X(X-1)=0
(X-1)(X-1+2X)=0
(X-1)(3X-1)=0
X=1,X=1/3
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