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

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

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

Reorder the terms:
(1 + t) * 2 + (t + -8) * 2 = 45

Reorder the terms for easier multiplication:
2(1 + t) + (t + -8) * 2 = 45
(1 * 2 + t * 2) + (t + -8) * 2 = 45
(2 + 2t) + (t + -8) * 2 = 45

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

Reorder the terms for easier multiplication:
2 + 2t + 2(-8 + t) = 45
2 + 2t + (-8 * 2 + t * 2) = 45
2 + 2t + (-16 + 2t) = 45

Reorder the terms:
2 + -16 + 2t + 2t = 45

Combine like terms: 2 + -16 = -14
-14 + 2t + 2t = 45

Combine like terms: 2t + 2t = 4t
-14 + 4t = 45

Solving
-14 + 4t = 45

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 14 + 4t = 45 + 14

Combine like terms: -14 + 14 = 0
0 + 4t = 45 + 14
4t = 45 + 14

Combine like terms: 45 + 14 = 59
4t = 59

Divide each side by '4'.
t = 14.75

Simplifying
t = 14.75