-16t^2+8t=1

Solution for -16t^2+8t=1 equation:

Simplifying
-16t2 + 8t = 1

Reorder the terms:
8t + -16t2 = 1

Solving
8t + -16t2 = 1

Solving for variable 't'.

Reorder the terms:
-1 + 8t + -16t2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 8t + -16t2 = 0

Factor a trinomial.
(-1 + 4t)(1 + -4t) = 0

Subproblem 1
Set the factor '(-1 + 4t)' equal to zero and attempt to solve:

Simplifying
-1 + 4t = 0

Solving
-1 + 4t = 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 + 4t = 0 + 1

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

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

Divide each side by '4'.
t = 0.25

Simplifying
t = 0.25
Subproblem 2
Set the factor '(1 + -4t)' equal to zero and attempt to solve:

Simplifying
1 + -4t = 0

Solving
1 + -4t = 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 + -4t = 0 + -1

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

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

Divide each side by '-4'.
t = 0.25

Simplifying
t = 0.25
Solution
t = {0.25, 0.25}