0=16t^2+16t-320

Solution for 0=16t^2+16t-320 equation:

Simplifying
0 = 16t2 + 16t + -320

Reorder the terms:
0 = -320 + 16t + 16t2

Solving
0 = -320 + 16t + 16t2

Solving for variable 't'.

Combine like terms: 0 + 320 = 320
320 + -16t + -16t2 = -320 + 16t + 16t2 + 320 + -16t + -16t2

Reorder the terms:
320 + -16t + -16t2 = -320 + 320 + 16t + -16t + 16t2 + -16t2

Combine like terms: -320 + 320 = 0
320 + -16t + -16t2 = 0 + 16t + -16t + 16t2 + -16t2
320 + -16t + -16t2 = 16t + -16t + 16t2 + -16t2

Combine like terms: 16t + -16t = 0
320 + -16t + -16t2 = 0 + 16t2 + -16t2
320 + -16t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
320 + -16t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(20 + -1t + -1t2) = 0

Factor a trinomial.
16((4 + -1t)(5 + t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(4 + -1t)' equal to zero and attempt to solve:

Simplifying
4 + -1t = 0

Solving
4 + -1t = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1t = 0 + -4
-1t = 0 + -4

Combine like terms: 0 + -4 = -4
-1t = -4

Divide each side by '-1'.
t = 4

Simplifying
t = 4
Subproblem 2
Set the factor '(5 + t)' equal to zero and attempt to solve:

Simplifying
5 + t = 0

Solving
5 + t = 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 + t = 0 + -5

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

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

Simplifying
t = -5
Solution
t = {4, -5}