-21b^6+9b^4-49b^2=0

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Solution for -21b^6+9b^4-49b^2=0 equation: 


Simplifying
-21b6 + 9b4 + -49b2 = 0

Reorder the terms:
-49b2 + 9b4 + -21b6 = 0

Solving
-49b2 + 9b4 + -21b6 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b2'.
b2(-49 + 9b2 + -21b4) = 0


Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve:

Simplifying
b2 = 0

Solving
b2 = 0

Move all terms containing b to the left, all other terms to the right.

Simplifying
b2 = 0

Take the square root of each side:
b = {0}

Subproblem 2
Set the factor '(-49 + 9b2 + -21b4)' equal to zero and attempt to solve:

Simplifying
-49 + 9b2 + -21b4 = 0

Solving
-49 + 9b2 + -21b4 = 0

Begin completing the square.  Divide all terms by
-21 the coefficient of the squared term: 

Divide each side by '-21'.
2.333333333 + -0.4285714286b2 + b4 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -0.4285714286b2 + -2.333333333 + b4 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -0.4285714286b2 + b4 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -0.4285714286b2 + b4 = 0 + -2.333333333
-0.4285714286b2 + b4 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-0.4285714286b2 + b4 = -2.333333333

The b term is -0.4285714286b2.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286b2 + 0.04591836735 + b4 = -2.333333333 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286b2 + b4 = -2.333333333 + 0.04591836735

Combine like terms: -2.333333333 + 0.04591836735 = -2.28741496565
0.04591836735 + -0.4285714286b2 + b4 = -2.28741496565

Factor a perfect square on the left side:
(b2 + -0.2142857143)(b2 + -0.2142857143) = -2.28741496565

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.
Solution
b = {0}

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