0=t^4-34t^2

Solution for 0=t^4-34t^2 equation:

Simplifying
0 = t4 + -34t2

Reorder the terms:
0 = -34t2 + t4

Solving
0 = -34t2 + t4

Solving for variable 't'.
Remove the zero:
34t2 + -1t4 = -34t2 + t4 + 34t2 + -1t4

Reorder the terms:
34t2 + -1t4 = -34t2 + 34t2 + t4 + -1t4

Combine like terms: -34t2 + 34t2 = 0
34t2 + -1t4 = 0 + t4 + -1t4
34t2 + -1t4 = t4 + -1t4

Combine like terms: t4 + -1t4 = 0
34t2 + -1t4 = 0

Factor out the Greatest Common Factor (GCF), 't2'.
t2(34 + -1t2) = 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 '(34 + -1t2)' equal to zero and attempt to solve:

Simplifying
34 + -1t2 = 0

Solving
34 + -1t2 = 0

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

Add '-34' to each side of the equation.
34 + -34 + -1t2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1t2 = 0 + -34
-1t2 = 0 + -34

Combine like terms: 0 + -34 = -34
-1t2 = -34

Divide each side by '-1'.
t2 = 34

Simplifying
t2 = 34

Take the square root of each side:
t = {-5.830951895, 5.830951895}
Solution
t = {0, -5.830951895, 5.830951895}