800+1000t-2500t^2=0

Solution for 800+1000t-2500t^2=0 equation:

Simplifying
800 + 1000t + -2500t2 = 0

Solving
800 + 1000t + -2500t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '100'.
100(8 + 10t + -25t2) = 0

Factor a trinomial.
100((4 + -5t)(2 + 5t)) = 0

Ignore the factor 100.
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}