32t^2-12t+1=0

Solution for 32t^2-12t+1=0 equation:

Simplifying
32t2 + -12t + 1 = 0

Reorder the terms:
1 + -12t + 32t2 = 0

Solving
1 + -12t + 32t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -8t)(1 + -4t) = 0

Subproblem 1
Set the factor '(1 + -8t)' equal to zero and attempt to solve:

Simplifying
1 + -8t = 0

Solving
1 + -8t = 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 + -8t = 0 + -1

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

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

Divide each side by '-8'.
t = 0.125

Simplifying
t = 0.125
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 = {0.125, 0.25}