(y-2bs^2)(y+3bs^2)=0

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Solution for (y-2bs^2)(y+3bs^2)=0 equation: 


Simplifying
(y + -2bs2)(y + 3bs2) = 0

Reorder the terms:
(-2bs2 + y)(y + 3bs2) = 0

Reorder the terms:
(-2bs2 + y)(3bs2 + y) = 0

Multiply (-2bs2 + y) * (3bs2 + y)
(-2bs2 * (3bs2 + y) + y(3bs2 + y)) = 0
((3bs2 * -2bs2 + y * -2bs2) + y(3bs2 + y)) = 0

Reorder the terms:
((-2bs2y + -6b2s4) + y(3bs2 + y)) = 0
((-2bs2y + -6b2s4) + y(3bs2 + y)) = 0
(-2bs2y + -6b2s4 + (3bs2 * y + y * y)) = 0
(-2bs2y + -6b2s4 + (3bs2y + y2)) = 0

Reorder the terms:
(-2bs2y + 3bs2y + -6b2s4 + y2) = 0

Combine like terms: -2bs2y + 3bs2y = 1bs2y
(1bs2y + -6b2s4 + y2) = 0

Solving
1bs2y + -6b2s4 + y2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3bs2 + -1y)(2bs2 + -1y) = 0


Subproblem 1
Set the factor '(-3bs2 + -1y)' equal to zero and attempt to solve:

Simplifying
-3bs2 + -1y = 0

Solving
-3bs2 + -1y = 0

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

Add 'y' to each side of the equation.
-3bs2 + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-3bs2 + 0 = 0 + y
-3bs2 = 0 + y
Remove the zero:
-3bs2 = y

Divide each side by '-3s2'.
b = -0.3333333333s-2y

Simplifying
b = -0.3333333333s-2y

Subproblem 2
Set the factor '(2bs2 + -1y)' equal to zero and attempt to solve:

Simplifying
2bs2 + -1y = 0

Solving
2bs2 + -1y = 0

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

Add 'y' to each side of the equation.
2bs2 + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2bs2 + 0 = 0 + y
2bs2 = 0 + y
Remove the zero:
2bs2 = y

Divide each side by '2s2'.
b = 0.5s-2y

Simplifying
b = 0.5s-2y
Solution
b = {-0.3333333333s-2y, 0.5s-2y}

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