2t^2-32t=0

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

Simplifying
2t2 + -32t = 0

Reorder the terms:
-32t + 2t2 = 0

Solving
-32t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-16 + t) = 0

Ignore the factor 2.
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 '(-16 + t)' equal to zero and attempt to solve:

Simplifying
-16 + t = 0

Solving
-16 + t = 0

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

Add '16' to each side of the equation.
-16 + 16 + t = 0 + 16

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

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

Simplifying
t = 16
Solution
t = {0, 16}