(t+1)2+(t-8)2=45

Solution for (t+1)2+(t-8)2=45 equation:

(t+1)2 +(t-8)2=45

We simplify the equation to the form, which is simple to understand 
(t+1)2+(t-8)2=45

Reorder the terms in parentheses
(+2t+2)+(t-8)*2=45

Remove unnecessary parentheses
+2t+2+(t-8)*2=45

Reorder the terms in parentheses
+2t+2+(+2t-16)=45

Remove unnecessary parentheses
+2t+2+2t-16=+45

We move all terms containing t to the left and all other terms to the right. 
+2t+2t=+45-2+16

We simplify left and right side of the equation. 
+4t=+59

We divide both sides of the equation by 4 to get t. 
t=14.75