250t^2+300t+80=0

Solution for 250t^2+300t+80=0 equation:

Simplifying
250t2 + 300t + 80 = 0

Reorder the terms:
80 + 300t + 250t2 = 0

Solving
80 + 300t + 250t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '10'.
10(8 + 30t + 25t2) = 0

Factor a trinomial.
10((4 + 5t)(2 + 5t)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(4 + 5t)' equal to zero and attempt to solve:

Simplifying
4 + 5t = 0

Solving
4 + 5t = 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 + 5t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5t = 0 + -4
5t = 0 + -4

Combine like terms: 0 + -4 = -4
5t = -4

Divide each side by '5'.
t = -0.8

Simplifying
t = -0.8
Subproblem 2
Set the factor '(2 + 5t)' equal to zero and attempt to solve:

Simplifying
2 + 5t = 0

Solving
2 + 5t = 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 + 5t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5t = 0 + -2
5t = 0 + -2

Combine like terms: 0 + -2 = -2
5t = -2

Divide each side by '5'.
t = -0.4

Simplifying
t = -0.4
Solution
t = {-0.8, -0.4}