2500=x^4

Solution for 2500=x^4 equation:

Simplifying
2500 = x4

Solving
2500 = x4

Solving for variable 'x'.

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

Add '-1x4' to each side of the equation.
2500 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
2500 + -1x4 = 0

Add '-2500' to each side of the equation.
2500 + -2500 + -1x4 = 0 + -2500

Combine like terms: 2500 + -2500 = 0
0 + -1x4 = 0 + -2500
-1x4 = 0 + -2500

Combine like terms: 0 + -2500 = -2500
-1x4 = -2500

Divide each side by '-1'.
x4 = 2500

Simplifying
x4 = 2500

Reorder the terms:
-2500 + x4 = 2500 + -2500

Combine like terms: 2500 + -2500 = 0
-2500 + x4 = 0

Factor a difference between two squares.
(50 + x2)(-50 + x2) = 0

Subproblem 1
Set the factor '(50 + x2)' equal to zero and attempt to solve:

Simplifying
50 + x2 = 0

Solving
50 + x2 = 0

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

Add '-50' to each side of the equation.
50 + -50 + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + x2 = 0 + -50
x2 = 0 + -50

Combine like terms: 0 + -50 = -50
x2 = -50

Simplifying
x2 = -50

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 '(-50 + x2)' equal to zero and attempt to solve:

Simplifying
-50 + x2 = 0

Solving
-50 + x2 = 0

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

Add '50' to each side of the equation.
-50 + 50 + x2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + x2 = 0 + 50
x2 = 0 + 50

Combine like terms: 0 + 50 = 50
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}
Solution
x = {-7.071067812, 7.071067812}