5x^4-605=0

Solution for 5x^4-605=0 equation:

Simplifying
5x4 + -605 = 0

Reorder the terms:
-605 + 5x4 = 0

Solving
-605 + 5x4 = 0

Solving for variable 'x'.

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

Add '605' to each side of the equation.
-605 + 605 + 5x4 = 0 + 605

Combine like terms: -605 + 605 = 0
0 + 5x4 = 0 + 605
5x4 = 0 + 605

Combine like terms: 0 + 605 = 605
5x4 = 605

Divide each side by '5'.
x4 = 121

Simplifying
x4 = 121

Reorder the terms:
-121 + x4 = 121 + -121

Combine like terms: 121 + -121 = 0
-121 + x4 = 0

Factor a difference between two squares.
(11 + x2)(-11 + x2) = 0

Subproblem 1
Set the factor '(11 + x2)' equal to zero and attempt to solve:

Simplifying
11 + x2 = 0

Solving
11 + x2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x2 = 0 + -11
x2 = 0 + -11

Combine like terms: 0 + -11 = -11
x2 = -11

Simplifying
x2 = -11

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 '(-11 + x2)' equal to zero and attempt to solve:

Simplifying
-11 + x2 = 0

Solving
-11 + x2 = 0

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

Add '11' to each side of the equation.
-11 + 11 + x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x2 = 0 + 11
x2 = 0 + 11

Combine like terms: 0 + 11 = 11
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}
Solution
x = {-3.31662479, 3.31662479}