4x^4-49=0

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

Simplifying
4x4 + -49 = 0

Reorder the terms:
-49 + 4x4 = 0

Solving
-49 + 4x4 = 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 + 4x4 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4x4 = 0 + 49
4x4 = 0 + 49

Combine like terms: 0 + 49 = 49
4x4 = 49

Divide each side by '4'.
x4 = 12.25

Simplifying
x4 = 12.25

Reorder the terms:
-12.25 + x4 = 12.25 + -12.25

Combine like terms: 12.25 + -12.25 = 0.00
-12.25 + x4 = 0.00

Factor a difference between two squares.
(3.5 + x2)(-3.5 + x2) = 0.00

Subproblem 1
Set the factor '(3.5 + x2)' equal to zero and attempt to solve:

Simplifying
3.5 + x2 = 0

Solving
3.5 + x2 = 0

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x2 = 0 + -3.5
x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
x2 = -3.5

Simplifying
x2 = -3.5

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 '(-3.5 + x2)' equal to zero and attempt to solve:

Simplifying
-3.5 + x2 = 0

Solving
-3.5 + x2 = 0

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x2 = 0 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x2 = 0 + 3.5
x2 = 0 + 3.5

Combine like terms: 0 + 3.5 = 3.5
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}
Solution
x = {-1.870828693, 1.870828693}