(4x^4)+(7x^2)+6=0

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Solution for (4x^4)+(7x^2)+6=0 equation:


Simplifying
(4x4) + (7x2) + 6 = 0

Reorder the terms:
6 + (7x2) + (4x4) = 0

Solving
6 + (7x2) + (4x4) = 0

Solving for variable 'x'.

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

Divide each side by '4'.
1.5 + (1.75x2) + x4 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + (1.75x2) + -1.5 + x4 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + (1.75x2) + x4 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + (1.75x2) + x4 = 0 + -1.5
(1.75x2) + x4 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
(1.75x2) + x4 = -1.5

The x term is (1.75x2).  Take half its coefficient (0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
(1.75x2) + 0.765625 + x4 = -1.5 + 0.765625

Reorder the terms:
0.765625 + (1.75x2) + x4 = -1.5 + 0.765625

Combine like terms: -1.5 + 0.765625 = -0.734375
0.765625 + (1.75x2) + x4 = -0.734375

Factor a perfect square on the left side:
((x2) + 0.875)((x2) + 0.875) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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