3=16t^2+47t

Solution for 3=16t^2+47t equation:

Simplifying
3 = 16t2 + 47t

Reorder the terms:
3 = 47t + 16t2

Solving
3 = 47t + 16t2

Solving for variable 't'.

Reorder the terms:
3 + -47t + -16t2 = 47t + -47t + 16t2 + -16t2

Combine like terms: 47t + -47t = 0
3 + -47t + -16t2 = 0 + 16t2 + -16t2
3 + -47t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
3 + -47t + -16t2 = 0

Factor a trinomial.
(1 + -16t)(3 + t) = 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 '(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 = {0.0625, -3}