(n-2xb)(4n-xb)=

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Solution for (n-2xb)(4n-xb)= equation: 


Simplifying
(n + -2xb)(4n + -1xb) = 0

Reorder the terms:
(-2bx + n)(4n + -1xb) = 0

Reorder the terms:
(-2bx + n)(-1bx + 4n) = 0

Multiply (-2bx + n) * (-1bx + 4n)
(-2bx * (-1bx + 4n) + n(-1bx + 4n)) = 0
((-1bx * -2bx + 4n * -2bx) + n(-1bx + 4n)) = 0

Reorder the terms:
((-8bnx + 2b2x2) + n(-1bx + 4n)) = 0
((-8bnx + 2b2x2) + n(-1bx + 4n)) = 0
(-8bnx + 2b2x2 + (-1bx * n + 4n * n)) = 0
(-8bnx + 2b2x2 + (-1bnx + 4n2)) = 0

Reorder the terms:
(-8bnx + -1bnx + 2b2x2 + 4n2) = 0

Combine like terms: -8bnx + -1bnx = -9bnx
(-9bnx + 2b2x2 + 4n2) = 0

Solving
-9bnx + 2b2x2 + 4n2 = 0

Solving for variable 'b'.

Factor a trinomial.
(bx + -4n)(2bx + -1n) = 0


Subproblem 1
Set the factor '(bx + -4n)' equal to zero and attempt to solve:

Simplifying
bx + -4n = 0

Solving
bx + -4n = 0

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

Add '4n' to each side of the equation.
bx + -4n + 4n = 0 + 4n

Combine like terms: -4n + 4n = 0
bx + 0 = 0 + 4n
bx = 0 + 4n
Remove the zero:
bx = 4n

Divide each side by 'x'.
b = 4nx-1

Simplifying
b = 4nx-1

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

Simplifying
2bx + -1n = 0

Solving
2bx + -1n = 0

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

Add 'n' to each side of the equation.
2bx + -1n + n = 0 + n

Combine like terms: -1n + n = 0
2bx + 0 = 0 + n
2bx = 0 + n
Remove the zero:
2bx = n

Divide each side by '2x'.
b = 0.5nx-1

Simplifying
b = 0.5nx-1
Solution
b = {4nx-1, 0.5nx-1}

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