-t^3(6t-1)=

Solution for -t^3(6t-1)= equation:

Simplifying
-1t3(6t + -1) = 0

Reorder the terms:
-1t3(-1 + 6t) = 0
(-1 * -1t3 + 6t * -1t3) = 0
(1t3 + -6t4) = 0

Solving
1t3 + -6t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't3'.
t3(1 + -6t) = 0

Subproblem 1
Set the factor 't3' equal to zero and attempt to solve:

Simplifying
t3 = 0

Solving
t3 = 0

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

Simplifying
t3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + -6t)' equal to zero and attempt to solve:

Simplifying
1 + -6t = 0

Solving
1 + -6t = 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 + -6t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6t = 0 + -1
-6t = 0 + -1

Combine like terms: 0 + -1 = -1
-6t = -1

Divide each side by '-6'.
t = 0.1666666667

Simplifying
t = 0.1666666667
Solution
t = {0.1666666667}