Answer:
t=-1
Step-by-step explanation:
Simplify: [tex]\frac{t^2+2t+2}{t-1}=\frac{2t=3}{t-1}[/tex]
take out denominator: [tex](t-1)\frac{t^2+2t+2}{t-1}=\frac{2t+3}{t-1}(t-1)[/tex]
[tex]t^2+2t+2=2t+3[/tex]
-2t -2 -2t -2
[tex]t^{2}=1[/tex]
[tex]1^{2} =1[/tex] or -1
1 x 1 = 1 or -1 x -1= 1
