-16t^2+10t+350=0

Solution for -16t^2+10t+350=0 equation:

Simplifying
-16t2 + 10t + 350 = 0

Reorder the terms:
350 + 10t + -16t2 = 0

Solving
350 + 10t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(175 + 5t + -8t2) = 0

Factor a trinomial.
2((5 + -1t)(35 + 8t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Subproblem 2
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
Solution
t = {5, -4.375}