0=33x^4-x^2+121

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Solution for 0=33x^4-x^2+121 equation: 


Simplifying
0 = 33x4 + -1x2 + 121

Reorder the terms:
0 = 121 + -1x2 + 33x4

Solving
0 = 121 + -1x2 + 33x4

Solving for variable 'x'.

Combine like terms: 0 + -121 = -121
-121 + x2 + -33x4 = 121 + -1x2 + 33x4 + -121 + x2 + -33x4

Reorder the terms:
-121 + x2 + -33x4 = 121 + -121 + -1x2 + x2 + 33x4 + -33x4

Combine like terms: 121 + -121 = 0
-121 + x2 + -33x4 = 0 + -1x2 + x2 + 33x4 + -33x4
-121 + x2 + -33x4 = -1x2 + x2 + 33x4 + -33x4

Combine like terms: -1x2 + x2 = 0
-121 + x2 + -33x4 = 0 + 33x4 + -33x4
-121 + x2 + -33x4 = 33x4 + -33x4

Combine like terms: 33x4 + -33x4 = 0
-121 + x2 + -33x4 = 0

Begin completing the square.  Divide all terms by
-33 the coefficient of the squared term: 

Divide each side by '-33'.
3.666666667 + -0.03030303030x2 + x4 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -0.03030303030x2 + -3.666666667 + x4 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -0.03030303030x2 + x4 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -0.03030303030x2 + x4 = 0 + -3.666666667
-0.03030303030x2 + x4 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-0.03030303030x2 + x4 = -3.666666667

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.
-0.03030303030x2 + 0.25 + x4 = -3.666666667 + 0.25

Reorder the terms:
0.25 + -0.03030303030x2 + x4 = -3.666666667 + 0.25

Combine like terms: -3.666666667 + 0.25 = -3.416666667
0.25 + -0.03030303030x2 + x4 = -3.416666667

Factor a perfect square on the left side:
(x2 + 0.5)(x2 + 0.5) = -3.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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