25n^4-9=0

Solution for 25n^4-9=0 equation:

Simplifying
25n4 + -9 = 0

Reorder the terms:
-9 + 25n4 = 0

Solving
-9 + 25n4 = 0

Solving for variable 'n'.

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

Add '9' to each side of the equation.
-9 + 9 + 25n4 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 25n4 = 0 + 9
25n4 = 0 + 9

Combine like terms: 0 + 9 = 9
25n4 = 9

Divide each side by '25'.
n4 = 0.36

Simplifying
n4 = 0.36

Reorder the terms:
-0.36 + n4 = 0.36 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
-0.36 + n4 = 0.00

Factor a difference between two squares.
(0.6 + n2)(-0.6 + n2) = 0.00

Subproblem 1
Set the factor '(0.6 + n2)' equal to zero and attempt to solve:

Simplifying
0.6 + n2 = 0

Solving
0.6 + n2 = 0

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + n2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + n2 = 0 + -0.6
n2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
n2 = -0.6

Simplifying
n2 = -0.6

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 '(-0.6 + n2)' equal to zero and attempt to solve:

Simplifying
-0.6 + n2 = 0

Solving
-0.6 + n2 = 0

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

Add '0.6' to each side of the equation.
-0.6 + 0.6 + n2 = 0 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + n2 = 0 + 0.6
n2 = 0 + 0.6

Combine like terms: 0 + 0.6 = 0.6
n2 = 0.6

Simplifying
n2 = 0.6

Take the square root of each side:
n = {-0.774596669, 0.774596669}
Solution
n = {-0.774596669, 0.774596669}