25x^4-49=0

Solution for 25x^4-49=0 equation:

Simplifying
25x4 + -49 = 0

Reorder the terms:
-49 + 25x4 = 0

Solving
-49 + 25x4 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 25x4 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 25x4 = 0 + 49
25x4 = 0 + 49

Combine like terms: 0 + 49 = 49
25x4 = 49

Divide each side by '25'.
x4 = 1.96

Simplifying
x4 = 1.96

Reorder the terms:
-1.96 + x4 = 1.96 + -1.96

Combine like terms: 1.96 + -1.96 = 0.00
-1.96 + x4 = 0.00

Factor a difference between two squares.
(1.4 + x2)(-1.4 + x2) = 0.00

Subproblem 1
Set the factor '(1.4 + x2)' equal to zero and attempt to solve:

Simplifying
1.4 + x2 = 0

Solving
1.4 + x2 = 0

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + x2 = 0 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + x2 = 0 + -1.4
x2 = 0 + -1.4

Combine like terms: 0 + -1.4 = -1.4
x2 = -1.4

Simplifying
x2 = -1.4

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 '(-1.4 + x2)' equal to zero and attempt to solve:

Simplifying
-1.4 + x2 = 0

Solving
-1.4 + x2 = 0

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

Add '1.4' to each side of the equation.
-1.4 + 1.4 + x2 = 0 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + x2 = 0 + 1.4
x2 = 0 + 1.4

Combine like terms: 0 + 1.4 = 1.4
x2 = 1.4

Simplifying
x2 = 1.4

Take the square root of each side:
x = {-1.183215957, 1.183215957}
Solution
x = {-1.183215957, 1.183215957}