5=-16t^2+15t+6

Solution for 5=-16t^2+15t+6 equation:

Simplifying
5 = -16t2 + 15t + 6

Reorder the terms:
5 = 6 + 15t + -16t2

Solving
5 = 6 + 15t + -16t2

Solving for variable 't'.

Combine like terms: 5 + -6 = -1
-1 + -15t + 16t2 = 6 + 15t + -16t2 + -6 + -15t + 16t2

Reorder the terms:
-1 + -15t + 16t2 = 6 + -6 + 15t + -15t + -16t2 + 16t2

Combine like terms: 6 + -6 = 0
-1 + -15t + 16t2 = 0 + 15t + -15t + -16t2 + 16t2
-1 + -15t + 16t2 = 15t + -15t + -16t2 + 16t2

Combine like terms: 15t + -15t = 0
-1 + -15t + 16t2 = 0 + -16t2 + 16t2
-1 + -15t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-1 + -15t + 16t2 = 0

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

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

Simplifying
-1 + -16t = 0

Solving
-1 + -16t = 0

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

Add '1' to each side of the equation.
-1 + 1 + -16t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -16t = 0 + 1
-16t = 0 + 1

Combine like terms: 0 + 1 = 1
-16t = 1

Divide each side by '-16'.
t = -0.0625

Simplifying
t = -0.0625
Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

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

Simplifying
t = 1
Solution
t = {-0.0625, 1}