(x^4+6x^2+7)+(2x^4-3x^2+1)=

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Solution for (x^4+6x^2+7)+(2x^4-3x^2+1)= equation: 


Simplifying
(x4 + 6x2 + 7) + (2x4 + -3x2 + 1) = 0

Reorder the terms:
(7 + 6x2 + x4) + (2x4 + -3x2 + 1) = 0

Remove parenthesis around (7 + 6x2 + x4)
7 + 6x2 + x4 + (2x4 + -3x2 + 1) = 0

Reorder the terms:
7 + 6x2 + x4 + (1 + -3x2 + 2x4) = 0

Remove parenthesis around (1 + -3x2 + 2x4)
7 + 6x2 + x4 + 1 + -3x2 + 2x4 = 0

Reorder the terms:
7 + 1 + 6x2 + -3x2 + x4 + 2x4 = 0

Combine like terms: 7 + 1 = 8
8 + 6x2 + -3x2 + x4 + 2x4 = 0

Combine like terms: 6x2 + -3x2 = 3x2
8 + 3x2 + x4 + 2x4 = 0

Combine like terms: x4 + 2x4 = 3x4
8 + 3x2 + 3x4 = 0

Solving
8 + 3x2 + 3x4 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
2.666666667 + x2 + x4 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + x2 + -2.666666667 + x4 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + x2 + x4 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + x2 + x4 = 0 + -2.666666667
x2 + x4 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
x2 + x4 = -2.666666667

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.
 + 0.25 + x4 = -2.666666667 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x4 = -2.666666667 + 0.25

Combine like terms: -2.666666667 + 0.25 = -2.416666667
1.25 + x4 = -2.416666667

Factor a perfect square on the left side:
(x2 + 0.5)(x2 + 0.5) = -2.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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