(b-2ya^2)(3b-3ya^2)=0

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Solution for (b-2ya^2)(3b-3ya^2)=0 equation: 


Simplifying
(b + -2ya2)(3b + -3ya2) = 0

Reorder the terms:
(-2a2y + b)(3b + -3ya2) = 0

Reorder the terms:
(-2a2y + b)(-3a2y + 3b) = 0

Multiply (-2a2y + b) * (-3a2y + 3b)
(-2a2y * (-3a2y + 3b) + b(-3a2y + 3b)) = 0
((-3a2y * -2a2y + 3b * -2a2y) + b(-3a2y + 3b)) = 0

Reorder the terms:
((-6a2by + 6a4y2) + b(-3a2y + 3b)) = 0
((-6a2by + 6a4y2) + b(-3a2y + 3b)) = 0
(-6a2by + 6a4y2 + (-3a2y * b + 3b * b)) = 0
(-6a2by + 6a4y2 + (-3a2by + 3b2)) = 0

Reorder the terms:
(-6a2by + -3a2by + 6a4y2 + 3b2) = 0

Combine like terms: -6a2by + -3a2by = -9a2by
(-9a2by + 6a4y2 + 3b2) = 0

Solving
-9a2by + 6a4y2 + 3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3a2by + 2a4y2 + b2) = 0

Factor a trinomial.
3((a2y + -1b)(2a2y + -1b)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(a2y + -1b)' equal to zero and attempt to solve:

Simplifying
a2y + -1b = 0

Solving
a2y + -1b = 0

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

Add 'b' to each side of the equation.
a2y + -1b + b = 0 + b

Combine like terms: -1b + b = 0
a2y + 0 = 0 + b
a2y = 0 + b
Remove the zero:
a2y = b

Divide each side by 'y'.
a2 = by-1

Simplifying
a2 = by-1

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 '(2a2y + -1b)' equal to zero and attempt to solve:

Simplifying
2a2y + -1b = 0

Solving
2a2y + -1b = 0

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

Add 'b' to each side of the equation.
2a2y + -1b + b = 0 + b

Combine like terms: -1b + b = 0
2a2y + 0 = 0 + b
2a2y = 0 + b
Remove the zero:
2a2y = b

Divide each side by '2y'.
a2 = 0.5by-1

Simplifying
a2 = 0.5by-1

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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