0=t^2-6t-160

Solution for 0=t^2-6t-160 equation:

Simplifying
0 = t2 + -6t + -160

Reorder the terms:
0 = -160 + -6t + t2

Solving
0 = -160 + -6t + t2

Solving for variable 't'.

Combine like terms: 0 + 160 = 160
160 + 6t + -1t2 = -160 + -6t + t2 + 160 + 6t + -1t2

Reorder the terms:
160 + 6t + -1t2 = -160 + 160 + -6t + 6t + t2 + -1t2

Combine like terms: -160 + 160 = 0
160 + 6t + -1t2 = 0 + -6t + 6t + t2 + -1t2
160 + 6t + -1t2 = -6t + 6t + t2 + -1t2

Combine like terms: -6t + 6t = 0
160 + 6t + -1t2 = 0 + t2 + -1t2
160 + 6t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
160 + 6t + -1t2 = 0

Factor a trinomial.
(16 + -1t)(10 + t) = 0

Subproblem 1
Set the factor '(16 + -1t)' equal to zero and attempt to solve:

Simplifying
16 + -1t = 0

Solving
16 + -1t = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1t = 0 + -16
-1t = 0 + -16

Combine like terms: 0 + -16 = -16
-1t = -16

Divide each side by '-1'.
t = 16

Simplifying
t = 16
Subproblem 2
Set the factor '(10 + t)' equal to zero and attempt to solve:

Simplifying
10 + t = 0

Solving
10 + t = 0

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

Add '-10' to each side of the equation.
10 + -10 + t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + t = 0 + -10
t = 0 + -10

Combine like terms: 0 + -10 = -10
t = -10

Simplifying
t = -10
Solution
t = {16, -10}