6t(4t-1)=0

Solution for 6t(4t-1)=0 equation:

Simplifying
6t(4t + -1) = 0

Reorder the terms:
6t(-1 + 4t) = 0
(-1 * 6t + 4t * 6t) = 0
(-6t + 24t2) = 0

Solving
-6t + 24t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '6t'.
6t(-1 + 4t) = 0

Ignore the factor 6.
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 + 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, 0.25}