32t^2-4t=0

Solution for 32t^2-4t=0 equation:

Simplifying
32t2 + -4t = 0

Reorder the terms:
-4t + 32t2 = 0

Solving
-4t + 32t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t'.
4t(-1 + 8t) = 0

Ignore the factor 4.
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 '(-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
Solution
t = {0, 0.125}