(9x^4+x^2)-(6x^4-3x^2-8)=

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Solution for (9x^4+x^2)-(6x^4-3x^2-8)= equation: 


Simplifying
(9x4 + x2) + -1(6x4 + -3x2 + -8) = 0

Reorder the terms:
(x2 + 9x4) + -1(6x4 + -3x2 + -8) = 0

Remove parenthesis around (x2 + 9x4)
x2 + 9x4 + -1(6x4 + -3x2 + -8) = 0

Reorder the terms:
x2 + 9x4 + -1(-8 + -3x2 + 6x4) = 0
x2 + 9x4 + (-8 * -1 + -3x2 * -1 + 6x4 * -1) = 0
x2 + 9x4 + (8 + 3x2 + -6x4) = 0

Reorder the terms:
8 + x2 + 3x2 + 9x4 + -6x4 = 0

Combine like terms: x2 + 3x2 = 4x2
8 + 4x2 + 9x4 + -6x4 = 0

Combine like terms: 9x4 + -6x4 = 3x4
8 + 4x2 + 3x4 = 0

Solving
8 + 4x2 + 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 + 1.333333333x2 + x4 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 1.333333333x2 + -2.666666667 + x4 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 1.333333333x2 + x4 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 1.333333333x2 + x4 = 0 + -2.666666667
1.333333333x2 + x4 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
1.333333333x2 + x4 = -2.666666667

The x term is 1.333333333x2.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x2 + 0.4444444442 + x4 = -2.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x2 + x4 = -2.666666667 + 0.4444444442

Combine like terms: -2.666666667 + 0.4444444442 = -2.2222222228
0.4444444442 + 1.333333333x2 + x4 = -2.2222222228

Factor a perfect square on the left side:
(x2 + 0.6666666665)(x2 + 0.6666666665) = -2.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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