25x^4-16=0

Solution for 25x^4-16=0 equation:

Simplifying
25x4 + -16 = 0

Reorder the terms:
-16 + 25x4 = 0

Solving
-16 + 25x4 = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 25x4 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 25x4 = 0 + 16
25x4 = 0 + 16

Combine like terms: 0 + 16 = 16
25x4 = 16

Divide each side by '25'.
x4 = 0.64

Simplifying
x4 = 0.64

Reorder the terms:
-0.64 + x4 = 0.64 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
-0.64 + x4 = 0.00

Factor a difference between two squares.
(0.8 + x2)(-0.8 + x2) = 0.00

Subproblem 1
Set the factor '(0.8 + x2)' equal to zero and attempt to solve:

Simplifying
0.8 + x2 = 0

Solving
0.8 + x2 = 0

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + x2 = 0 + -0.8
x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
x2 = -0.8

Simplifying
x2 = -0.8

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 '(-0.8 + x2)' equal to zero and attempt to solve:

Simplifying
-0.8 + x2 = 0

Solving
-0.8 + x2 = 0

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + x2 = 0 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + x2 = 0 + 0.8
x2 = 0 + 0.8

Combine like terms: 0 + 0.8 = 0.8
x2 = 0.8

Simplifying
x2 = 0.8

Take the square root of each side:
x = {-0.894427191, 0.894427191}
Solution
x = {-0.894427191, 0.894427191}