t=-16t^2+64t+4

Solution for t=-16t^2+64t+4 equation:

Simplifying
t = -16t2 + 64t + 4

Reorder the terms:
t = 4 + 64t + -16t2

Solving
t = 4 + 64t + -16t2

Solving for variable 't'.

Reorder the terms:
-4 + t + -64t + 16t2 = 4 + 64t + -16t2 + -4 + -64t + 16t2

Combine like terms: t + -64t = -63t
-4 + -63t + 16t2 = 4 + 64t + -16t2 + -4 + -64t + 16t2

Reorder the terms:
-4 + -63t + 16t2 = 4 + -4 + 64t + -64t + -16t2 + 16t2

Combine like terms: 4 + -4 = 0
-4 + -63t + 16t2 = 0 + 64t + -64t + -16t2 + 16t2
-4 + -63t + 16t2 = 64t + -64t + -16t2 + 16t2

Combine like terms: 64t + -64t = 0
-4 + -63t + 16t2 = 0 + -16t2 + 16t2
-4 + -63t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-4 + -63t + 16t2 = 0

Factor a trinomial.
(-1 + -16t)(4 + -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 '(4 + -1t)' equal to zero and attempt to solve:

Simplifying
4 + -1t = 0

Solving
4 + -1t = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1t = 0 + -4
-1t = 0 + -4

Combine like terms: 0 + -4 = -4
-1t = -4

Divide each side by '-1'.
t = 4

Simplifying
t = 4
Solution
t = {-0.0625, 4}