-3x^4+-x^2=4

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


Simplifying
-3x4 + -1x2 = 4

Reorder the terms:
-1x2 + -3x4 = 4

Solving
-1x2 + -3x4 = 4

Solving for variable 'x'.

Reorder the terms:
-4 + -1x2 + -3x4 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -1x2 + -3x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + x2 + 3x4) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4 + x2 + 3x4)' equal to zero and attempt to solve:

Simplifying
4 + x2 + 3x4 = 0

Solving
4 + x2 + 3x4 = 0

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

Divide each side by '3'.
1.333333333 + 0.3333333333x2 + x4 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 0.3333333333x2 + -1.333333333 + x4 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 0.3333333333x2 + x4 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 0.3333333333x2 + x4 = 0 + -1.333333333
0.3333333333x2 + x4 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
0.3333333333x2 + x4 = -1.333333333

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.
0.3333333333x2 + 0.25 + x4 = -1.333333333 + 0.25

Reorder the terms:
0.25 + 0.3333333333x2 + x4 = -1.333333333 + 0.25

Combine like terms: -1.333333333 + 0.25 = -1.083333333
0.25 + 0.3333333333x2 + x4 = -1.083333333

Factor a perfect square on the left side:
(x2 + 0.5)(x2 + 0.5) = -1.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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