(6t^4+3t)=

Solution for (6t^4+3t)= equation:

Simplifying
(6t4 + 3t) = 0

Reorder the terms:
(3t + 6t4) = 0

Remove parenthesis around (3t + 6t4)
3t + 6t4 = 0

Solving
3t + 6t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t'.
3t(1 + 2t3) = 0

Ignore the factor 3.
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 + 2t3)' equal to zero and attempt to solve:

Simplifying
1 + 2t3 = 0

Solving
1 + 2t3 = 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 + 2t3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2t3 = 0 + -1
2t3 = 0 + -1

Combine like terms: 0 + -1 = -1
2t3 = -1

Divide each side by '2'.
t3 = -0.5

Simplifying
t3 = -0.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
t = {0}