1. 3x+2(x-1)^2=2x^2+3
3x+2(x^2-2x+1)=2x^2+3
3x+2x^2-4x+2-2x^2-3=0
3x-4x=1
-1x=1
x=-1
2.(2t-1)(2t+1)-4t(t+2)=1-10t
-1-8t=1-10t
-8t+10t=1+1
2t=2
t=1
3. (2u+1)^2-2(u-2)(u+2)=2u^2+9
(2u^2+4u+1) - 2( u^2+2u-2u-4)=2u^2+9
4u^2+4u+1 - 2u^2 +8= 2u^2+9
2u^2+4u+1+8=2u^2+9
4u=0
u=0
4. 5(3v-1)+2v(v+3)=2v(v+8)+5
15v-5+2v^2+6v=2v^2+16v+5
15v+6v-16v=5+5
5v=10
v=2