6t^2-8t=0

Solution for 6t^2-8t=0 equation:

Simplifying
6t2 + -8t = 0

Reorder the terms:
-8t + 6t2 = 0

Solving
-8t + 6t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-4 + 3t) = 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 '(-4 + 3t)' equal to zero and attempt to solve:

Simplifying
-4 + 3t = 0

Solving
-4 + 3t = 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 + 3t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3t = 0 + 4
3t = 0 + 4

Combine like terms: 0 + 4 = 4
3t = 4

Divide each side by '3'.
t = 1.333333333

Simplifying
t = 1.333333333
Solution
t = {0, 1.333333333}