16t^2-200t+336=0

Solution for 16t^2-200t+336=0 equation:

Simplifying
16t2 + -200t + 336 = 0

Reorder the terms:
336 + -200t + 16t2 = 0

Solving
336 + -200t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8'.
8(42 + -25t + 2t2) = 0

Factor a trinomial.
8((2 + -1t)(21 + -2t)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

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

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

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Subproblem 2
Set the factor '(21 + -2t)' equal to zero and attempt to solve:

Simplifying
21 + -2t = 0

Solving
21 + -2t = 0

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

Add '-21' to each side of the equation.
21 + -21 + -2t = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -2t = 0 + -21
-2t = 0 + -21

Combine like terms: 0 + -21 = -21
-2t = -21

Divide each side by '-2'.
t = 10.5

Simplifying
t = 10.5
Solution
t = {2, 10.5}