t^6+3t^3=10

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Solution for t^6+3t^3=10 equation: 


Simplifying
t6 + 3t3 = 10

Reorder the terms:
3t3 + t6 = 10

Solving
3t3 + t6 = 10

Solving for variable 't'.

Reorder the terms:
-10 + 3t3 + t6 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 3t3 + t6 = 0

Factor a trinomial.
(-5 + -1t3)(2 + -1t3) = 0


Subproblem 1
Set the factor '(-5 + -1t3)' equal to zero and attempt to solve:

Simplifying
-5 + -1t3 = 0

Solving
-5 + -1t3 = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1t3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1t3 = 0 + 5
-1t3 = 0 + 5

Combine like terms: 0 + 5 = 5
-1t3 = 5

Divide each side by '-1'.
t3 = -5

Simplifying
t3 = -5

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 '(2 + -1t3)' equal to zero and attempt to solve:

Simplifying
2 + -1t3 = 0

Solving
2 + -1t3 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t3 = 0 + -2

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

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

Divide each side by '-1'.
t3 = 2

Simplifying
t3 = 2

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.

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