16T^2-64T-80=0

Solution for 16T^2-64T-80=0 equation:

Simplifying
16T2 + -64T + -80 = 0

Reorder the terms:
-80 + -64T + 16T2 = 0

Solving
-80 + -64T + 16T2 = 0

Solving for variable 'T'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-5 + -4T + T2) = 0

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

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

Simplifying
-1 + -1T = 0

Solving
-1 + -1T = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1T = 0 + 1
-1T = 0 + 1

Combine like terms: 0 + 1 = 1
-1T = 1

Divide each side by '-1'.
T = -1

Simplifying
T = -1
Subproblem 2
Set the factor '(5 + -1T)' equal to zero and attempt to solve:

Simplifying
5 + -1T = 0

Solving
5 + -1T = 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 + -1T = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1T = 0 + -5
-1T = 0 + -5

Combine like terms: 0 + -5 = -5
-1T = -5

Divide each side by '-1'.
T = 5

Simplifying
T = 5
Solution
T = {-1, 5}