t^3-8t-4t=0

Solution for t^3-8t-4t=0 equation:

Simplifying
t3 + -8t + -4t = 0

Reorder the terms:
-8t + -4t + t3 = 0

Combine like terms: -8t + -4t = -12t
-12t + t3 = 0

Solving
-12t + t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-12 + t2) = 0

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 '(-12 + t2)' equal to zero and attempt to solve:

Simplifying
-12 + t2 = 0

Solving
-12 + t2 = 0

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

Add '12' to each side of the equation.
-12 + 12 + t2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + t2 = 0 + 12
t2 = 0 + 12

Combine like terms: 0 + 12 = 12
t2 = 12

Simplifying
t2 = 12

Take the square root of each side:
t = {-3.464101615, 3.464101615}
Solution
t = {0, -3.464101615, 3.464101615}