(3b-6ys^2)(b-ys^2)=

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Solution for (3b-6ys^2)(b-ys^2)= equation: 


Simplifying
(3b + -6ys2)(b + -1ys2) = 0

Multiply (3b + -6s2y) * (b + -1s2y)
(3b * (b + -1s2y) + -6s2y * (b + -1s2y)) = 0
((b * 3b + -1s2y * 3b) + -6s2y * (b + -1s2y)) = 0

Reorder the terms:
((-3bs2y + 3b2) + -6s2y * (b + -1s2y)) = 0
((-3bs2y + 3b2) + -6s2y * (b + -1s2y)) = 0
(-3bs2y + 3b2 + (b * -6s2y + -1s2y * -6s2y)) = 0
(-3bs2y + 3b2 + (-6bs2y + 6s4y2)) = 0

Reorder the terms:
(-3bs2y + -6bs2y + 3b2 + 6s4y2) = 0

Combine like terms: -3bs2y + -6bs2y = -9bs2y
(-9bs2y + 3b2 + 6s4y2) = 0

Solving
-9bs2y + 3b2 + 6s4y2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3bs2y + b2 + 2s4y2) = 0

Factor a trinomial.
3((b + -2s2y)(b + -1s2y)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(b + -2s2y)' equal to zero and attempt to solve:

Simplifying
b + -2s2y = 0

Solving
b + -2s2y = 0

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

Add '2s2y' to each side of the equation.
b + -2s2y + 2s2y = 0 + 2s2y

Combine like terms: -2s2y + 2s2y = 0
b + 0 = 0 + 2s2y
b = 0 + 2s2y
Remove the zero:
b = 2s2y

Simplifying
b = 2s2y

Subproblem 2
Set the factor '(b + -1s2y)' equal to zero and attempt to solve:

Simplifying
b + -1s2y = 0

Solving
b + -1s2y = 0

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

Add 's2y' to each side of the equation.
b + -1s2y + s2y = 0 + s2y

Combine like terms: -1s2y + s2y = 0
b + 0 = 0 + s2y
b = 0 + s2y
Remove the zero:
b = s2y

Simplifying
b = s2y
Solution
b = {2s2y, s2y}

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