t^2=-16-10t

Solution for t^2=-16-10t equation:

Simplifying
t2 = -16 + -10t

Solving
t2 = -16 + -10t

Solving for variable 't'.

Reorder the terms:
16 + 10t + t2 = -16 + -10t + 16 + 10t

Reorder the terms:
16 + 10t + t2 = -16 + 16 + -10t + 10t

Combine like terms: -16 + 16 = 0
16 + 10t + t2 = 0 + -10t + 10t
16 + 10t + t2 = -10t + 10t

Combine like terms: -10t + 10t = 0
16 + 10t + t2 = 0

Factor a trinomial.
(8 + t)(2 + t) = 0

Subproblem 1
Set the factor '(8 + t)' equal to zero and attempt to solve:

Simplifying
8 + t = 0

Solving
8 + t = 0

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

Add '-8' to each side of the equation.
8 + -8 + t = 0 + -8

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

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

Simplifying
t = -8
Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve:

Simplifying
2 + t = 0

Solving
2 + t = 0

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

Add '-2' to each side of the equation.
2 + -2 + t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t = 0 + -2
t = 0 + -2

Combine like terms: 0 + -2 = -2
t = -2

Simplifying
t = -2
Solution
t = {-8, -2}