16x^4-25=0

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

Simplifying
16x4 + -25 = 0

Reorder the terms:
-25 + 16x4 = 0

Solving
-25 + 16x4 = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '16'.
x4 = 1.5625

Simplifying
x4 = 1.5625

Reorder the terms:
-1.5625 + x4 = 1.5625 + -1.5625

Combine like terms: 1.5625 + -1.5625 = 0.0000
-1.5625 + x4 = 0.0000

Factor a difference between two squares.
(1.25 + x2)(-1.25 + x2) = 0.0000

Subproblem 1
Set the factor '(1.25 + x2)' equal to zero and attempt to solve:

Simplifying
1.25 + x2 = 0

Solving
1.25 + x2 = 0

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

Add '-1.25' to each side of the equation.
1.25 + -1.25 + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + x2 = 0 + -1.25
x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
x2 = -1.25

Simplifying
x2 = -1.25

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 '(-1.25 + x2)' equal to zero and attempt to solve:

Simplifying
-1.25 + x2 = 0

Solving
-1.25 + x2 = 0

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

Add '1.25' to each side of the equation.
-1.25 + 1.25 + x2 = 0 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + x2 = 0 + 1.25
x2 = 0 + 1.25

Combine like terms: 0 + 1.25 = 1.25
x2 = 1.25

Simplifying
x2 = 1.25

Take the square root of each side:
x = {-1.118033989, 1.118033989}
Solution
x = {-1.118033989, 1.118033989}