(3n^2-2bx)(n^2-bx)=

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Solution for (3n^2-2bx)(n^2-bx)= equation: 


Simplifying
(3n2 + -2bx)(n2 + -1bx) = 0

Reorder the terms:
(-2bx + 3n2)(n2 + -1bx) = 0

Reorder the terms:
(-2bx + 3n2)(-1bx + n2) = 0

Multiply (-2bx + 3n2) * (-1bx + n2)
(-2bx * (-1bx + n2) + 3n2 * (-1bx + n2)) = 0
((-1bx * -2bx + n2 * -2bx) + 3n2 * (-1bx + n2)) = 0

Reorder the terms:
((-2bn2x + 2b2x2) + 3n2 * (-1bx + n2)) = 0
((-2bn2x + 2b2x2) + 3n2 * (-1bx + n2)) = 0
(-2bn2x + 2b2x2 + (-1bx * 3n2 + n2 * 3n2)) = 0
(-2bn2x + 2b2x2 + (-3bn2x + 3n4)) = 0

Reorder the terms:
(-2bn2x + -3bn2x + 2b2x2 + 3n4) = 0

Combine like terms: -2bn2x + -3bn2x = -5bn2x
(-5bn2x + 2b2x2 + 3n4) = 0

Solving
-5bn2x + 2b2x2 + 3n4 = 0

Solving for variable 'b'.

Factor a trinomial.
(2bx + -3n2)(bx + -1n2) = 0


Subproblem 1
Set the factor '(2bx + -3n2)' equal to zero and attempt to solve:

Simplifying
2bx + -3n2 = 0

Solving
2bx + -3n2 = 0

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

Add '3n2' to each side of the equation.
2bx + -3n2 + 3n2 = 0 + 3n2

Combine like terms: -3n2 + 3n2 = 0
2bx + 0 = 0 + 3n2
2bx = 0 + 3n2
Remove the zero:
2bx = 3n2

Divide each side by '2x'.
b = 1.5n2x-1

Simplifying
b = 1.5n2x-1

Subproblem 2
Set the factor '(bx + -1n2)' equal to zero and attempt to solve:

Simplifying
bx + -1n2 = 0

Solving
bx + -1n2 = 0

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

Add 'n2' to each side of the equation.
bx + -1n2 + n2 = 0 + n2

Combine like terms: -1n2 + n2 = 0
bx + 0 = 0 + n2
bx = 0 + n2
Remove the zero:
bx = n2

Divide each side by 'x'.
b = n2x-1

Simplifying
b = n2x-1
Solution
b = {1.5n2x-1, n2x-1}

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