0=14x^4-x^2+49

Solution for 0=14x^4-x^2+49 equation:

Simplifying
0 = 14x4 + -1x2 + 49

Reorder the terms:
0 = 49 + -1x2 + 14x4

Solving
0 = 49 + -1x2 + 14x4

Solving for variable 'x'.

Combine like terms: 0 + -49 = -49
-49 + x2 + -14x4 = 49 + -1x2 + 14x4 + -49 + x2 + -14x4

Reorder the terms:
-49 + x2 + -14x4 = 49 + -49 + -1x2 + x2 + 14x4 + -14x4

Combine like terms: 49 + -49 = 0
-49 + x2 + -14x4 = 0 + -1x2 + x2 + 14x4 + -14x4
-49 + x2 + -14x4 = -1x2 + x2 + 14x4 + -14x4

Combine like terms: -1x2 + x2 = 0
-49 + x2 + -14x4 = 0 + 14x4 + -14x4
-49 + x2 + -14x4 = 14x4 + -14x4

Combine like terms: 14x4 + -14x4 = 0
-49 + x2 + -14x4 = 0

Begin completing the square.  Divide all terms by
-14 the coefficient of the squared term: 

Divide each side by '-14'.
3.5 + -0.07142857143x2 + x4 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -0.07142857143x2 + -3.5 + x4 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -0.07142857143x2 + x4 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -0.07142857143x2 + x4 = 0 + -3.5
-0.07142857143x2 + x4 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-0.07142857143x2 + x4 = -3.5

The x term is x2.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.07142857143x2 + 0.25 + x4 = -3.5 + 0.25

Reorder the terms:
0.25 + -0.07142857143x2 + x4 = -3.5 + 0.25

Combine like terms: -3.5 + 0.25 = -3.25
0.25 + -0.07142857143x2 + x4 = -3.25

Factor a perfect square on the left side:
(x2 + 0.5)(x2 + 0.5) = -3.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.