6a^4+211a^2b^2+35b^4=0

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Solution for 6a^4+211a^2b^2+35b^4=0 equation: 


Simplifying
6a4 + 211a2b2 + 35b4 = 0

Reorder the terms:
211a2b2 + 6a4 + 35b4 = 0

Solving
211a2b2 + 6a4 + 35b4 = 0

Solving for variable 'a'.

Factor a trinomial.
(6a2 + b2)(a2 + 35b2) = 0


Subproblem 1
Set the factor '(6a2 + b2)' equal to zero and attempt to solve:

Simplifying
6a2 + b2 = 0

Solving
6a2 + b2 = 0

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

Add '-1b2' to each side of the equation.
6a2 + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
6a2 + 0 = 0 + -1b2
6a2 = 0 + -1b2
Remove the zero:
6a2 = -1b2

Divide each side by '6'.
a2 = -0.1666666667b2

Simplifying
a2 = -0.1666666667b2

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(a2 + 35b2)' equal to zero and attempt to solve:

Simplifying
a2 + 35b2 = 0

Solving
a2 + 35b2 = 0

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

Add '-35b2' to each side of the equation.
a2 + 35b2 + -35b2 = 0 + -35b2

Combine like terms: 35b2 + -35b2 = 0
a2 + 0 = 0 + -35b2
a2 = 0 + -35b2
Remove the zero:
a2 = -35b2

Simplifying
a2 = -35b2

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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