t^2-16t+64=25

Solution for t^2-16t+64=25 equation:

Simplifying
t2 + -16t + 64 = 25

Reorder the terms:
64 + -16t + t2 = 25

Solving
64 + -16t + t2 = 25

Solving for variable 't'.

Reorder the terms:
64 + -25 + -16t + t2 = 25 + -25

Combine like terms: 64 + -25 = 39
39 + -16t + t2 = 25 + -25

Combine like terms: 25 + -25 = 0
39 + -16t + t2 = 0

Factor a trinomial.
(3 + -1t)(13 + -1t) = 0

Subproblem 1
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Subproblem 2
Set the factor '(13 + -1t)' equal to zero and attempt to solve:

Simplifying
13 + -1t = 0

Solving
13 + -1t = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1t = 0 + -13
-1t = 0 + -13

Combine like terms: 0 + -13 = -13
-1t = -13

Divide each side by '-1'.
t = 13

Simplifying
t = 13
Solution
t = {3, 13}