n^4-4n^2=60

Solution for n^4-4n^2=60 equation:

Simplifying
n4 + -4n2 = 60

Reorder the terms:
-4n2 + n4 = 60

Solving
-4n2 + n4 = 60

Solving for variable 'n'.

Reorder the terms:
-60 + -4n2 + n4 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -4n2 + n4 = 0

Factor a trinomial.
(-6 + -1n2)(10 + -1n2) = 0

Subproblem 1
Set the factor '(-6 + -1n2)' equal to zero and attempt to solve:

Simplifying
-6 + -1n2 = 0

Solving
-6 + -1n2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1n2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1n2 = 0 + 6
-1n2 = 0 + 6

Combine like terms: 0 + 6 = 6
-1n2 = 6

Divide each side by '-1'.
n2 = -6

Simplifying
n2 = -6

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 '(10 + -1n2)' equal to zero and attempt to solve:

Simplifying
10 + -1n2 = 0

Solving
10 + -1n2 = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1n2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1n2 = 0 + -10
-1n2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1n2 = -10

Divide each side by '-1'.
n2 = 10

Simplifying
n2 = 10

Take the square root of each side:
n = {-3.16227766, 3.16227766}
Solution
n = {-3.16227766, 3.16227766}