0=8t^2-96t+160

Solution for 0=8t^2-96t+160 equation:

Simplifying
0 = 8t2 + -96t + 160

Reorder the terms:
0 = 160 + -96t + 8t2

Solving
0 = 160 + -96t + 8t2

Solving for variable 't'.

Combine like terms: 0 + -160 = -160
-160 + 96t + -8t2 = 160 + -96t + 8t2 + -160 + 96t + -8t2

Reorder the terms:
-160 + 96t + -8t2 = 160 + -160 + -96t + 96t + 8t2 + -8t2

Combine like terms: 160 + -160 = 0
-160 + 96t + -8t2 = 0 + -96t + 96t + 8t2 + -8t2
-160 + 96t + -8t2 = -96t + 96t + 8t2 + -8t2

Combine like terms: -96t + 96t = 0
-160 + 96t + -8t2 = 0 + 8t2 + -8t2
-160 + 96t + -8t2 = 8t2 + -8t2

Combine like terms: 8t2 + -8t2 = 0
-160 + 96t + -8t2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-20 + 12t + -1t2) = 0

Factor a trinomial.
8((-10 + t)(2 + -1t)) = 0

Ignore the factor 8.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {10, 2}