8+160t+800t^2=0

Solution for 8+160t+800t^2=0 equation:

Simplifying
8 + 160t + 800t2 = 0

Solving
8 + 160t + 800t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8'.
8(1 + 20t + 100t2) = 0

Factor a trinomial.
8((1 + 10t)(1 + 10t)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(1 + 10t)' equal to zero and attempt to solve:

Simplifying
1 + 10t = 0

Solving
1 + 10t = 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 + 10t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10t = 0 + -1
10t = 0 + -1

Combine like terms: 0 + -1 = -1
10t = -1

Divide each side by '10'.
t = -0.1

Simplifying
t = -0.1
Subproblem 2
Set the factor '(1 + 10t)' equal to zero and attempt to solve:

Simplifying
1 + 10t = 0

Solving
1 + 10t = 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 + 10t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10t = 0 + -1
10t = 0 + -1

Combine like terms: 0 + -1 = -1
10t = -1

Divide each side by '10'.
t = -0.1

Simplifying
t = -0.1
Solution
t = {-0.1, -0.1}