t^2+8t=-16

Solution for t^2+8t=-16 equation:

Simplifying
t2 + 8t = -16

Reorder the terms:
8t + t2 = -16

Solving
8t + t2 = -16

Solving for variable 't'.

Reorder the terms:
16 + 8t + t2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 8t + t2 = 0

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

Subproblem 1
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
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 = {-4, -4}