t^3(t^3+2)=48

Solution for t^3(t^3+2)=48 equation:

Simplifying
t3(t3 + 2) = 48

Reorder the terms:
t3(2 + t3) = 48
(2 * t3 + t3 * t3) = 48
(2t3 + t6) = 48

Solving
2t3 + t6 = 48

Solving for variable 't'.

Reorder the terms:
-48 + 2t3 + t6 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 2t3 + t6 = 0

Factor a trinomial.
(-8 + -1t3)(6 + -1t3) = 0

Subproblem 1
Set the factor '(-8 + -1t3)' equal to zero and attempt to solve:

Simplifying
-8 + -1t3 = 0

Solving
-8 + -1t3 = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1t3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1t3 = 0 + 8
-1t3 = 0 + 8

Combine like terms: 0 + 8 = 8
-1t3 = 8

Divide each side by '-1'.
t3 = -8

Simplifying
t3 = -8

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 '(6 + -1t3)' equal to zero and attempt to solve:

Simplifying
6 + -1t3 = 0

Solving
6 + -1t3 = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t3 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t3 = 0 + -6
-1t3 = 0 + -6

Combine like terms: 0 + -6 = -6
-1t3 = -6

Divide each side by '-1'.
t3 = 6

Simplifying
t3 = 6

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.