6=-16t^2+304t+6

Solution for 6=-16t^2+304t+6 equation:

Simplifying
6 = -16t2 + 304t + 6

Reorder the terms:
6 = 6 + 304t + -16t2

Add '-6' to each side of the equation.
6 + -6 = 6 + 304t + -6 + -16t2

Combine like terms: 6 + -6 = 0
0 = 6 + 304t + -6 + -16t2

Reorder the terms:
0 = 6 + -6 + 304t + -16t2

Combine like terms: 6 + -6 = 0
0 = 0 + 304t + -16t2
0 = 304t + -16t2

Solving
0 = 304t + -16t2

Solving for variable 't'.
Remove the zero:
-304t + 16t2 = 304t + -16t2 + -304t + 16t2

Reorder the terms:
-304t + 16t2 = 304t + -304t + -16t2 + 16t2

Combine like terms: 304t + -304t = 0
-304t + 16t2 = 0 + -16t2 + 16t2
-304t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-304t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16t'.
16t(-19 + t) = 0

Ignore the factor 16.
Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(-19 + t)' equal to zero and attempt to solve:

Simplifying
-19 + t = 0

Solving
-19 + t = 0

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

Add '19' to each side of the equation.
-19 + 19 + t = 0 + 19

Combine like terms: -19 + 19 = 0
0 + t = 0 + 19
t = 0 + 19

Combine like terms: 0 + 19 = 19
t = 19

Simplifying
t = 19
Solution
t = {0, 19}