(t+16)(t+64)=0

Solution for (t+16)(t+64)=0 equation:

Simplifying
(t + 16)(t + 64) = 0

Reorder the terms:
(16 + t)(t + 64) = 0

Reorder the terms:
(16 + t)(64 + t) = 0

Multiply (16 + t) * (64 + t)
(16(64 + t) + t(64 + t)) = 0
((64 * 16 + t * 16) + t(64 + t)) = 0
((1024 + 16t) + t(64 + t)) = 0
(1024 + 16t + (64 * t + t * t)) = 0
(1024 + 16t + (64t + t2)) = 0

Combine like terms: 16t + 64t = 80t
(1024 + 80t + t2) = 0

Solving
1024 + 80t + t2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(64 + t)' equal to zero and attempt to solve:

Simplifying
64 + t = 0

Solving
64 + t = 0

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

Add '-64' to each side of the equation.
64 + -64 + t = 0 + -64

Combine like terms: 64 + -64 = 0
0 + t = 0 + -64
t = 0 + -64

Combine like terms: 0 + -64 = -64
t = -64

Simplifying
t = -64
Subproblem 2
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
Solution
t = {-64, -16}