200+33t+t^2=0

Solution for 200+33t+t^2=0 equation:

Simplifying
200 + 33t + t2 = 0

Solving
200 + 33t + t2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(25 + t)' equal to zero and attempt to solve:

Simplifying
25 + t = 0

Solving
25 + t = 0

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

Add '-25' to each side of the equation.
25 + -25 + t = 0 + -25

Combine like terms: 25 + -25 = 0
0 + t = 0 + -25
t = 0 + -25

Combine like terms: 0 + -25 = -25
t = -25

Simplifying
t = -25
Subproblem 2
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
Solution
t = {-25, -8}