-16t^2+22t+210=0

Solution for -16t^2+22t+210=0 equation:

Simplifying
-16t2 + 22t + 210 = 0

Reorder the terms:
210 + 22t + -16t2 = 0

Solving
210 + 22t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(105 + 11t + -8t2) = 0

Factor a trinomial.
2((35 + -8t)(3 + t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(35 + -8t)' equal to zero and attempt to solve:

Simplifying
35 + -8t = 0

Solving
35 + -8t = 0

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

Add '-35' to each side of the equation.
35 + -35 + -8t = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -8t = 0 + -35
-8t = 0 + -35

Combine like terms: 0 + -35 = -35
-8t = -35

Divide each side by '-8'.
t = 4.375

Simplifying
t = 4.375
Subproblem 2
Set the factor '(3 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

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

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

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

Simplifying
t = -3
Solution
t = {4.375, -3}