t=-16t^2+30t+6

Solution for t=-16t^2+30t+6 equation:

Simplifying
t = -16t2 + 30t + 6

Reorder the terms:
t = 6 + 30t + -16t2

Solving
t = 6 + 30t + -16t2

Solving for variable 't'.

Reorder the terms:
-6 + t + -30t + 16t2 = 6 + 30t + -16t2 + -6 + -30t + 16t2

Combine like terms: t + -30t = -29t
-6 + -29t + 16t2 = 6 + 30t + -16t2 + -6 + -30t + 16t2

Reorder the terms:
-6 + -29t + 16t2 = 6 + -6 + 30t + -30t + -16t2 + 16t2

Combine like terms: 6 + -6 = 0
-6 + -29t + 16t2 = 0 + 30t + -30t + -16t2 + 16t2
-6 + -29t + 16t2 = 30t + -30t + -16t2 + 16t2

Combine like terms: 30t + -30t = 0
-6 + -29t + 16t2 = 0 + -16t2 + 16t2
-6 + -29t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-6 + -29t + 16t2 = 0

Factor a trinomial.
(-3 + -16t)(2 + -1t) = 0

Subproblem 1
Set the factor '(-3 + -16t)' equal to zero and attempt to solve:

Simplifying
-3 + -16t = 0

Solving
-3 + -16t = 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 + -16t = 0 + 3

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

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

Divide each side by '-16'.
t = -0.1875

Simplifying
t = -0.1875
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 = {-0.1875, 2}