-16t^2+120t+3600=3744

Solution for -16t^2+120t+3600=3744 equation:

Simplifying
-16t2 + 120t + 3600 = 3744

Reorder the terms:
3600 + 120t + -16t2 = 3744

Solving
3600 + 120t + -16t2 = 3744

Solving for variable 't'.

Reorder the terms:
3600 + -3744 + 120t + -16t2 = 3744 + -3744

Combine like terms: 3600 + -3744 = -144
-144 + 120t + -16t2 = 3744 + -3744

Combine like terms: 3744 + -3744 = 0
-144 + 120t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-18 + 15t + -2t2) = 0

Factor a trinomial.
8((-6 + t)(3 + -2t)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-6 + t)' equal to zero and attempt to solve:

Simplifying
-6 + t = 0

Solving
-6 + t = 0

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

Add '6' to each side of the equation.
-6 + 6 + t = 0 + 6

Combine like terms: -6 + 6 = 0
0 + t = 0 + 6
t = 0 + 6

Combine like terms: 0 + 6 = 6
t = 6

Simplifying
t = 6
Subproblem 2
Set the factor '(3 + -2t)' equal to zero and attempt to solve:

Simplifying
3 + -2t = 0

Solving
3 + -2t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = 0 + -3
-2t = 0 + -3

Combine like terms: 0 + -3 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5
Solution
t = {6, 1.5}