44=-16t^2-4t+200

Solution for 44=-16t^2-4t+200 equation:

Simplifying
44 = -16t2 + -4t + 200

Reorder the terms:
44 = 200 + -4t + -16t2

Solving
44 = 200 + -4t + -16t2

Solving for variable 't'.

Combine like terms: 44 + -200 = -156
-156 + 4t + 16t2 = 200 + -4t + -16t2 + -200 + 4t + 16t2

Reorder the terms:
-156 + 4t + 16t2 = 200 + -200 + -4t + 4t + -16t2 + 16t2

Combine like terms: 200 + -200 = 0
-156 + 4t + 16t2 = 0 + -4t + 4t + -16t2 + 16t2
-156 + 4t + 16t2 = -4t + 4t + -16t2 + 16t2

Combine like terms: -4t + 4t = 0
-156 + 4t + 16t2 = 0 + -16t2 + 16t2
-156 + 4t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-156 + 4t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-39 + t + 4t2) = 0

Factor a trinomial.
4((-13 + -4t)(3 + -1t)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-13 + -4t)' equal to zero and attempt to solve:

Simplifying
-13 + -4t = 0

Solving
-13 + -4t = 0

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

Add '13' to each side of the equation.
-13 + 13 + -4t = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -4t = 0 + 13
-4t = 0 + 13

Combine like terms: 0 + 13 = 13
-4t = 13

Divide each side by '-4'.
t = -3.25

Simplifying
t = -3.25
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 = {-3.25, 3}