-16t^2+96t+80=124

Solution for -16t^2+96t+80=124 equation:

Simplifying
-16t2 + 96t + 80 = 124

Reorder the terms:
80 + 96t + -16t2 = 124

Solving
80 + 96t + -16t2 = 124

Solving for variable 't'.

Reorder the terms:
80 + -124 + 96t + -16t2 = 124 + -124

Combine like terms: 80 + -124 = -44
-44 + 96t + -16t2 = 124 + -124

Combine like terms: 124 + -124 = 0
-44 + 96t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-11 + 24t + -4t2) = 0

Factor a trinomial.
4((-11 + 2t)(1 + -2t)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-11 + 2t)' equal to zero and attempt to solve:

Simplifying
-11 + 2t = 0

Solving
-11 + 2t = 0

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

Add '11' to each side of the equation.
-11 + 11 + 2t = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 2t = 0 + 11
2t = 0 + 11

Combine like terms: 0 + 11 = 11
2t = 11

Divide each side by '2'.
t = 5.5

Simplifying
t = 5.5
Subproblem 2
Set the factor '(1 + -2t)' equal to zero and attempt to solve:

Simplifying
1 + -2t = 0

Solving
1 + -2t = 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 + -2t = 0 + -1

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

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

Divide each side by '-2'.
t = 0.5

Simplifying
t = 0.5
Solution
t = {5.5, 0.5}