t^6+1t^3=42

Solution for t^6+1t^3=42 equation:

Simplifying
t6 + 1t3 = 42

Reorder the terms:
1t3 + t6 = 42

Solving
1t3 + t6 = 42

Solving for variable 't'.

Reorder the terms:
-42 + 1t3 + t6 = 42 + -42

Combine like terms: 42 + -42 = 0
-42 + 1t3 + t6 = 0

Factor a trinomial.
(-7 + -1t3)(6 + -1t3) = 0

Subproblem 1
Set the factor '(-7 + -1t3)' equal to zero and attempt to solve:

Simplifying
-7 + -1t3 = 0

Solving
-7 + -1t3 = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1t3 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1t3 = 0 + 7
-1t3 = 0 + 7

Combine like terms: 0 + 7 = 7
-1t3 = 7

Divide each side by '-1'.
t3 = -7

Simplifying
t3 = -7

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.