2x^4+x^2+7=0

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Solution for 2x^4+x^2+7=0 equation:


Simplifying
2x4 + x2 + 7 = 0

Reorder the terms:
7 + x2 + 2x4 = 0

Solving
7 + x2 + 2x4 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
3.5 + 0.5x2 + x4 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + 0.5x2 + -3.5 + x4 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + 0.5x2 + x4 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 0.5x2 + x4 = 0 + -3.5
0.5x2 + x4 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
0.5x2 + 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.
0.5x2 + 0.25 + x4 = -3.5 + 0.25

Reorder the terms:
0.25 + 0.5x2 + x4 = -3.5 + 0.25

Combine like terms: -3.5 + 0.25 = -3.25
0.25 + 0.5x2 + 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.

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