2x^4+4x^2+3=0

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Solution for 2x^4+4x^2+3=0 equation:


Simplifying
2x4 + 4x2 + 3 = 0

Reorder the terms:
3 + 4x2 + 2x4 = 0

Solving
3 + 4x2 + 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'.
1.5 + 2x2 + x4 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 2x2 + -1.5 + x4 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 2x2 + x4 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2x2 + x4 = 0 + -1.5
2x2 + x4 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
2x2 + x4 = -1.5

The x term is 2x2.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x2 + 1 + x4 = -1.5 + 1

Reorder the terms:
1 + 2x2 + x4 = -1.5 + 1

Combine like terms: -1.5 + 1 = -0.5
1 + 2x2 + x4 = -0.5

Factor a perfect square on the left side:
(x2 + 1)(x2 + 1) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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