6=-16t^2+15t+100

Solution for 6=-16t^2+15t+100 equation:

Simplifying
6 = -16t2 + 15t + 100

Reorder the terms:
6 = 100 + 15t + -16t2

Solving
6 = 100 + 15t + -16t2

Solving for variable 't'.

Combine like terms: 6 + -100 = -94
-94 + -15t + 16t2 = 100 + 15t + -16t2 + -100 + -15t + 16t2

Reorder the terms:
-94 + -15t + 16t2 = 100 + -100 + 15t + -15t + -16t2 + 16t2

Combine like terms: 100 + -100 = 0
-94 + -15t + 16t2 = 0 + 15t + -15t + -16t2 + 16t2
-94 + -15t + 16t2 = 15t + -15t + -16t2 + 16t2

Combine like terms: 15t + -15t = 0
-94 + -15t + 16t2 = 0 + -16t2 + 16t2
-94 + -15t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-94 + -15t + 16t2 = 0

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

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 '(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
Solution
t = {-2, 2.9375}