(y+2bx^2)*(2y-3bx^2)=

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Solution for (y+2bx^2)*(2y-3bx^2)= equation: 


Simplifying
(y + 2bx2)(2y + -3bx2) = 0

Reorder the terms:
(2bx2 + y)(2y + -3bx2) = 0

Reorder the terms:
(2bx2 + y)(-3bx2 + 2y) = 0

Multiply (2bx2 + y) * (-3bx2 + 2y)
(2bx2 * (-3bx2 + 2y) + y(-3bx2 + 2y)) = 0
((-3bx2 * 2bx2 + 2y * 2bx2) + y(-3bx2 + 2y)) = 0

Reorder the terms:
((4bx2y + -6b2x4) + y(-3bx2 + 2y)) = 0
((4bx2y + -6b2x4) + y(-3bx2 + 2y)) = 0
(4bx2y + -6b2x4 + (-3bx2 * y + 2y * y)) = 0
(4bx2y + -6b2x4 + (-3bx2y + 2y2)) = 0

Reorder the terms:
(4bx2y + -3bx2y + -6b2x4 + 2y2) = 0

Combine like terms: 4bx2y + -3bx2y = 1bx2y
(1bx2y + -6b2x4 + 2y2) = 0

Solving
1bx2y + -6b2x4 + 2y2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-2bx2 + -1y)(3bx2 + -2y) = 0


Subproblem 1
Set the factor '(-2bx2 + -1y)' equal to zero and attempt to solve:

Simplifying
-2bx2 + -1y = 0

Solving
-2bx2 + -1y = 0

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

Add 'y' to each side of the equation.
-2bx2 + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-2bx2 + 0 = 0 + y
-2bx2 = 0 + y
Remove the zero:
-2bx2 = y

Divide each side by '-2x2'.
b = -0.5x-2y

Simplifying
b = -0.5x-2y

Subproblem 2
Set the factor '(3bx2 + -2y)' equal to zero and attempt to solve:

Simplifying
3bx2 + -2y = 0

Solving
3bx2 + -2y = 0

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

Add '2y' to each side of the equation.
3bx2 + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
3bx2 + 0 = 0 + 2y
3bx2 = 0 + 2y
Remove the zero:
3bx2 = 2y

Divide each side by '3x2'.
b = 0.6666666667x-2y

Simplifying
b = 0.6666666667x-2y
Solution
b = {-0.5x-2y, 0.6666666667x-2y}

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