2-50x^4=0

Solution for 2-50x^4=0 equation:

Simplifying
2 + -50x4 = 0

Solving
2 + -50x4 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -50x4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -50x4 = 0 + -2
-50x4 = 0 + -2

Combine like terms: 0 + -2 = -2
-50x4 = -2

Divide each side by '-50'.
x4 = 0.04

Simplifying
x4 = 0.04

Reorder the terms:
-0.04 + x4 = 0.04 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
-0.04 + x4 = 0.00

Factor a difference between two squares.
(0.2 + x2)(-0.2 + x2) = 0.00

Subproblem 1
Set the factor '(0.2 + x2)' equal to zero and attempt to solve:

Simplifying
0.2 + x2 = 0

Solving
0.2 + x2 = 0

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + x2 = 0 + -0.2
x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
x2 = -0.2

Simplifying
x2 = -0.2

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 '(-0.2 + x2)' equal to zero and attempt to solve:

Simplifying
-0.2 + x2 = 0

Solving
-0.2 + x2 = 0

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

Add '0.2' to each side of the equation.
-0.2 + 0.2 + x2 = 0 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + x2 = 0 + 0.2
x2 = 0 + 0.2

Combine like terms: 0 + 0.2 = 0.2
x2 = 0.2

Simplifying
x2 = 0.2

Take the square root of each side:
x = {-0.447213596, 0.447213596}
Solution
x = {-0.447213596, 0.447213596}