676=x^4

Solution for 676=x^4 equation:

Simplifying
676 = x4

Solving
676 = 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.
676 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
676 + -1x4 = 0

Add '-676' to each side of the equation.
676 + -676 + -1x4 = 0 + -676

Combine like terms: 676 + -676 = 0
0 + -1x4 = 0 + -676
-1x4 = 0 + -676

Combine like terms: 0 + -676 = -676
-1x4 = -676

Divide each side by '-1'.
x4 = 676

Simplifying
x4 = 676

Reorder the terms:
-676 + x4 = 676 + -676

Combine like terms: 676 + -676 = 0
-676 + x4 = 0

Factor a difference between two squares.
(26 + x2)(-26 + x2) = 0

Subproblem 1
Set the factor '(26 + x2)' equal to zero and attempt to solve:

Simplifying
26 + x2 = 0

Solving
26 + x2 = 0

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

Add '-26' to each side of the equation.
26 + -26 + x2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + x2 = 0 + -26
x2 = 0 + -26

Combine like terms: 0 + -26 = -26
x2 = -26

Simplifying
x2 = -26

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 '(-26 + x2)' equal to zero and attempt to solve:

Simplifying
-26 + x2 = 0

Solving
-26 + x2 = 0

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

Add '26' to each side of the equation.
-26 + 26 + x2 = 0 + 26

Combine like terms: -26 + 26 = 0
0 + x2 = 0 + 26
x2 = 0 + 26

Combine like terms: 0 + 26 = 26
x2 = 26

Simplifying
x2 = 26

Take the square root of each side:
x = {-5.099019514, 5.099019514}
Solution
x = {-5.099019514, 5.099019514}