t^10-4t^5+3=0

Solution for t^10-4t^5+3=0 equation:

Simplifying
t10 + -4t5 + 3 = 0

Reorder the terms:
3 + -4t5 + t10 = 0

Solving
3 + -4t5 + t10 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -1t5)(3 + -1t5) = 0

Subproblem 1
Set the factor '(1 + -1t5)' equal to zero and attempt to solve:

Simplifying
1 + -1t5 = 0

Solving
1 + -1t5 = 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 + -1t5 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1t5 = 0 + -1
-1t5 = 0 + -1

Combine like terms: 0 + -1 = -1
-1t5 = -1

Divide each side by '-1'.
t5 = 1

Simplifying
t5 = 1

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 '(3 + -1t5)' equal to zero and attempt to solve:

Simplifying
3 + -1t5 = 0

Solving
3 + -1t5 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t5 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t5 = 0 + -3
-1t5 = 0 + -3

Combine like terms: 0 + -3 = -3
-1t5 = -3

Divide each side by '-1'.
t5 = 3

Simplifying
t5 = 3

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.