t^2+20t+64=0

Solution for t^2+20t+64=0 equation:

Simplifying
t2 + 20t + 64 = 0

Reorder the terms:
64 + 20t + t2 = 0

Solving
64 + 20t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(16 + t)(4 + t) = 0

Subproblem 1
Set the factor '(16 + t)' equal to zero and attempt to solve:

Simplifying
16 + t = 0

Solving
16 + t = 0

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

Add '-16' to each side of the equation.
16 + -16 + t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + t = 0 + -16
t = 0 + -16

Combine like terms: 0 + -16 = -16
t = -16

Simplifying
t = -16
Subproblem 2
Set the factor '(4 + t)' equal to zero and attempt to solve:

Simplifying
4 + t = 0

Solving
4 + t = 0

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

Add '-4' to each side of the equation.
4 + -4 + t = 0 + -4

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

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

Simplifying
t = -4
Solution
t = {-16, -4}