196t-16t^2=444

Solution for 196t-16t^2=444 equation:

Simplifying
196t + -16t2 = 444

Solving
196t + -16t2 = 444

Solving for variable 't'.

Reorder the terms:
-444 + 196t + -16t2 = 444 + -444

Combine like terms: 444 + -444 = 0
-444 + 196t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-111 + 49t + -4t2) = 0

Factor a trinomial.
4((-37 + 4t)(3 + -1t)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-37 + 4t)' equal to zero and attempt to solve:

Simplifying
-37 + 4t = 0

Solving
-37 + 4t = 0

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

Add '37' to each side of the equation.
-37 + 37 + 4t = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 4t = 0 + 37
4t = 0 + 37

Combine like terms: 0 + 37 = 37
4t = 37

Divide each side by '4'.
t = 9.25

Simplifying
t = 9.25
Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 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 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {9.25, 3}