0=16t^2+8t

Solution for 0=16t^2+8t equation:

Simplifying
0 = 16t2 + 8t

Reorder the terms:
0 = 8t + 16t2

Solving
0 = 8t + 16t2

Solving for variable 't'.
Remove the zero:
-8t + -16t2 = 8t + 16t2 + -8t + -16t2

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

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

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

Factor out the Greatest Common Factor (GCF), '-8t'.
-8t(1 + 2t) = 0

Ignore the factor -8.
Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(1 + 2t)' equal to zero and attempt to solve:

Simplifying
1 + 2t = 0

Solving
1 + 2t = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2t = 0 + -1
2t = 0 + -1

Combine like terms: 0 + -1 = -1
2t = -1

Divide each side by '2'.
t = -0.5

Simplifying
t = -0.5
Solution
t = {0, -0.5}