16x^4=625

Solution for 16x^4=625 equation:

Simplifying
16x4 = 625

Solving
16x4 = 625

Solving for variable 'x'.

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

Divide each side by '16'.
x4 = 39.0625

Simplifying
x4 = 39.0625

Reorder the terms:
-39.0625 + x4 = 39.0625 + -39.0625

Combine like terms: 39.0625 + -39.0625 = 0.0000
-39.0625 + x4 = 0.0000

Factor a difference between two squares.
(6.25 + x2)(-6.25 + x2) = 0.0000

Factor a difference between two squares.
(6.25 + x2)((2.5 + x)(-2.5 + x)) = 0.0000

Subproblem 1
Set the factor '(6.25 + x2)' equal to zero and attempt to solve:

Simplifying
6.25 + x2 = 0

Solving
6.25 + x2 = 0

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

Add '-6.25' to each side of the equation.
6.25 + -6.25 + x2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + x2 = 0 + -6.25
x2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
x2 = -6.25

Simplifying
x2 = -6.25

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 '(2.5 + x)' equal to zero and attempt to solve:

Simplifying
2.5 + x = 0

Solving
2.5 + x = 0

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 0 + -2.5
x = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
x = -2.5

Simplifying
x = -2.5
Subproblem 3
Set the factor '(-2.5 + x)' equal to zero and attempt to solve:

Simplifying
-2.5 + x = 0

Solving
-2.5 + x = 0

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 0 + 2.5
x = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
x = 2.5

Simplifying
x = 2.5
Solution
x = {-2.5, 2.5}