t^2-t-380=0

Solution for t^2-t-380=0 equation:

Simplifying
t2 + -1t + -380 = 0

Reorder the terms:
-380 + -1t + t2 = 0

Solving
-380 + -1t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-19 + -1t)(20 + -1t) = 0

Subproblem 1
Set the factor '(-19 + -1t)' equal to zero and attempt to solve:

Simplifying
-19 + -1t = 0

Solving
-19 + -1t = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1t = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1t = 0 + 19
-1t = 0 + 19

Combine like terms: 0 + 19 = 19
-1t = 19

Divide each side by '-1'.
t = -19

Simplifying
t = -19
Subproblem 2
Set the factor '(20 + -1t)' equal to zero and attempt to solve:

Simplifying
20 + -1t = 0

Solving
20 + -1t = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1t = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1t = 0 + -20
-1t = 0 + -20

Combine like terms: 0 + -20 = -20
-1t = -20

Divide each side by '-1'.
t = 20

Simplifying
t = 20
Solution
t = {-19, 20}