t^2-35t-200=

Solution for t^2-35t-200= equation:

Simplifying
t2 + -35t + -200 = 0

Reorder the terms:
-200 + -35t + t2 = 0

Solving
-200 + -35t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-5 + -1t)(40 + -1t) = 0

Subproblem 1
Set the factor '(-5 + -1t)' equal to zero and attempt to solve:

Simplifying
-5 + -1t = 0

Solving
-5 + -1t = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1t = 0 + 5
-1t = 0 + 5

Combine like terms: 0 + 5 = 5
-1t = 5

Divide each side by '-1'.
t = -5

Simplifying
t = -5
Subproblem 2
Set the factor '(40 + -1t)' equal to zero and attempt to solve:

Simplifying
40 + -1t = 0

Solving
40 + -1t = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1t = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1t = 0 + -40
-1t = 0 + -40

Combine like terms: 0 + -40 = -40
-1t = -40

Divide each side by '-1'.
t = 40

Simplifying
t = 40
Solution
t = {-5, 40}