1+2t^2+t^4=1

Solution for 1+2t^2+t^4=1 equation:

Simplifying
1 + 2t2 + t4 = 1

Add '-1' to each side of the equation.
1 + 2t2 + -1 + t4 = 1 + -1

Reorder the terms:
1 + -1 + 2t2 + t4 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + 2t2 + t4 = 1 + -1
2t2 + t4 = 1 + -1

Combine like terms: 1 + -1 = 0
2t2 + t4 = 0

Solving
2t2 + t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(2 + t2) = 0

Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}
Subproblem 2
Set the factor '(2 + t2)' equal to zero and attempt to solve:

Simplifying
2 + t2 = 0

Solving
2 + t2 = 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 + t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t2 = 0 + -2
t2 = 0 + -2

Combine like terms: 0 + -2 = -2
t2 = -2

Simplifying
t2 = -2

The solution to this equation could not be determined.

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