25x^4=169

Solution for 25x^4=169 equation:

Simplifying
25x4 = 169

Solving
25x4 = 169

Solving for variable 'x'.

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

Divide each side by '25'.
x4 = 6.76

Simplifying
x4 = 6.76

Reorder the terms:
-6.76 + x4 = 6.76 + -6.76

Combine like terms: 6.76 + -6.76 = 0.00
-6.76 + x4 = 0.00

Factor a difference between two squares.
(2.6 + x2)(-2.6 + x2) = 0.00

Subproblem 1
Set the factor '(2.6 + x2)' equal to zero and attempt to solve:

Simplifying
2.6 + x2 = 0

Solving
2.6 + x2 = 0

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

Add '-2.6' to each side of the equation.
2.6 + -2.6 + x2 = 0 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + x2 = 0 + -2.6
x2 = 0 + -2.6

Combine like terms: 0 + -2.6 = -2.6
x2 = -2.6

Simplifying
x2 = -2.6

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 '(-2.6 + x2)' equal to zero and attempt to solve:

Simplifying
-2.6 + x2 = 0

Solving
-2.6 + x2 = 0

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

Add '2.6' to each side of the equation.
-2.6 + 2.6 + x2 = 0 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + x2 = 0 + 2.6
x2 = 0 + 2.6

Combine like terms: 0 + 2.6 = 2.6
x2 = 2.6

Simplifying
x2 = 2.6

Take the square root of each side:
x = {-1.61245155, 1.61245155}
Solution
x = {-1.61245155, 1.61245155}