t^2-30t-4000=0

Solution for t^2-30t-4000=0 equation:

Simplifying
t2 + -30t + -4000 = 0

Reorder the terms:
-4000 + -30t + t2 = 0

Solving
-4000 + -30t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-50 + -1t)(80 + -1t) = 0

Subproblem 1
Set the factor '(-50 + -1t)' equal to zero and attempt to solve:

Simplifying
-50 + -1t = 0

Solving
-50 + -1t = 0

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

Add '50' to each side of the equation.
-50 + 50 + -1t = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -1t = 0 + 50
-1t = 0 + 50

Combine like terms: 0 + 50 = 50
-1t = 50

Divide each side by '-1'.
t = -50

Simplifying
t = -50
Subproblem 2
Set the factor '(80 + -1t)' equal to zero and attempt to solve:

Simplifying
80 + -1t = 0

Solving
80 + -1t = 0

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

Add '-80' to each side of the equation.
80 + -80 + -1t = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1t = 0 + -80
-1t = 0 + -80

Combine like terms: 0 + -80 = -80
-1t = -80

Divide each side by '-1'.
t = 80

Simplifying
t = 80
Solution
t = {-50, 80}