33d^4+11d^2+11=

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Solution for 33d^4+11d^2+11= equation: 


Simplifying
33d4 + 11d2 + 11 = 0

Reorder the terms:
11 + 11d2 + 33d4 = 0

Solving
11 + 11d2 + 33d4 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '11'.
11(1 + d2 + 3d4) = 0

Ignore the factor 11.

Subproblem 1
Set the factor '(1 + d2 + 3d4)' equal to zero and attempt to solve:

Simplifying
1 + d2 + 3d4 = 0

Solving
1 + d2 + 3d4 = 0

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

Divide each side by '3'.
0.3333333333 + 0.3333333333d2 + d4 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.3333333333d2 + -0.3333333333 + d4 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.3333333333d2 + d4 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.3333333333d2 + d4 = 0 + -0.3333333333
0.3333333333d2 + d4 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.3333333333d2 + d4 = -0.3333333333

The d term is d2.  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.
0.3333333333d2 + 0.25 + d4 = -0.3333333333 + 0.25

Reorder the terms:
0.25 + 0.3333333333d2 + d4 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
0.25 + 0.3333333333d2 + d4 = -0.0833333333

Factor a perfect square on the left side:
(d2 + 0.5)(d2 + 0.5) = -0.0833333333

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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