x^4=5.0625

Solution for x^4=5.0625 equation:

Simplifying
x4 = 5.0625

Solving
x4 = 5.0625

Solving for variable 'x'.

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

Simplifying
x4 = 5.0625

Reorder the terms:
-5.0625 + x4 = 5.0625 + -5.0625

Combine like terms: 5.0625 + -5.0625 = 0.0000
-5.0625 + x4 = 0.0000

Factor a difference between two squares.
(2.25 + x2)(-2.25 + x2) = 0.0000

Factor a difference between two squares.
(2.25 + x2)((1.5 + x)(-1.5 + x)) = 0.0000

Subproblem 1
Set the factor '(2.25 + x2)' equal to zero and attempt to solve:

Simplifying
2.25 + x2 = 0

Solving
2.25 + x2 = 0

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + x2 = 0 + -2.25
x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
x2 = -2.25

Simplifying
x2 = -2.25

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

Simplifying
1.5 + x = 0

Solving
1.5 + x = 0

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 0 + -1.5
x = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
x = -1.5

Simplifying
x = -1.5
Subproblem 3
Set the factor '(-1.5 + x)' equal to zero and attempt to solve:

Simplifying
-1.5 + x = 0

Solving
-1.5 + x = 0

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = 0 + 1.5
x = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
x = 1.5

Simplifying
x = 1.5
Solution
x = {-1.5, 1.5}