16t^2+15t-94=0

Solution for 16t^2+15t-94=0 equation:

Simplifying
16t2 + 15t + -94 = 0

Reorder the terms:
-94 + 15t + 16t2 = 0

Solving
-94 + 15t + 16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-47 + -16t)(2 + -1t) = 0

Subproblem 1
Set the factor '(-47 + -16t)' equal to zero and attempt to solve:

Simplifying
-47 + -16t = 0

Solving
-47 + -16t = 0

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

Add '47' to each side of the equation.
-47 + 47 + -16t = 0 + 47

Combine like terms: -47 + 47 = 0
0 + -16t = 0 + 47
-16t = 0 + 47

Combine like terms: 0 + 47 = 47
-16t = 47

Divide each side by '-16'.
t = -2.9375

Simplifying
t = -2.9375
Subproblem 2
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
Solution
t = {-2.9375, 2}