(a^2+3sv)(3a^2-sv)=0

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Solution for (a^2+3sv)(3a^2-sv)=0 equation: 


Simplifying
(a2 + 3sv)(3a2 + -1sv) = 0

Multiply (a2 + 3sv) * (3a2 + -1sv)
(a2(3a2 + -1sv) + 3sv * (3a2 + -1sv)) = 0
((3a2 * a2 + -1sv * a2) + 3sv * (3a2 + -1sv)) = 0

Reorder the terms:
((-1a2sv + 3a4) + 3sv * (3a2 + -1sv)) = 0
((-1a2sv + 3a4) + 3sv * (3a2 + -1sv)) = 0
(-1a2sv + 3a4 + (3a2 * 3sv + -1sv * 3sv)) = 0
(-1a2sv + 3a4 + (9a2sv + -3s2v2)) = 0

Reorder the terms:
(-1a2sv + 9a2sv + 3a4 + -3s2v2) = 0

Combine like terms: -1a2sv + 9a2sv = 8a2sv
(8a2sv + 3a4 + -3s2v2) = 0

Solving
8a2sv + 3a4 + -3s2v2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3a2 + -1sv)(a2 + 3sv) = 0


Subproblem 1
Set the factor '(3a2 + -1sv)' equal to zero and attempt to solve:

Simplifying
3a2 + -1sv = 0

Solving
3a2 + -1sv = 0

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

Add 'sv' to each side of the equation.
3a2 + -1sv + sv = 0 + sv

Combine like terms: -1sv + sv = 0
3a2 + 0 = 0 + sv
3a2 = 0 + sv
Remove the zero:
3a2 = sv

Divide each side by '3'.
a2 = 0.3333333333sv

Simplifying
a2 = 0.3333333333sv

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 + 3sv)' equal to zero and attempt to solve:

Simplifying
a2 + 3sv = 0

Solving
a2 + 3sv = 0

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

Add '-3sv' to each side of the equation.
a2 + 3sv + -3sv = 0 + -3sv

Combine like terms: 3sv + -3sv = 0
a2 + 0 = 0 + -3sv
a2 = 0 + -3sv
Remove the zero:
a2 = -3sv

Simplifying
a2 = -3sv

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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