(2n-4b)(3n-3b)=

Solution for (2n-4b)(3n-3b)= equation:

Simplifying
(2n + -4b)(3n + -3b) = 0

Reorder the terms:
(-4b + 2n)(3n + -3b) = 0

Reorder the terms:
(-4b + 2n)(-3b + 3n) = 0

Multiply (-4b + 2n) * (-3b + 3n)
(-4b * (-3b + 3n) + 2n * (-3b + 3n)) = 0
((-3b * -4b + 3n * -4b) + 2n * (-3b + 3n)) = 0

Reorder the terms:
((-12bn + 12b2) + 2n * (-3b + 3n)) = 0
((-12bn + 12b2) + 2n * (-3b + 3n)) = 0
(-12bn + 12b2 + (-3b * 2n + 3n * 2n)) = 0
(-12bn + 12b2 + (-6bn + 6n2)) = 0

Reorder the terms:
(-12bn + -6bn + 12b2 + 6n2) = 0

Combine like terms: -12bn + -6bn = -18bn
(-18bn + 12b2 + 6n2) = 0

Solving
-18bn + 12b2 + 6n2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-3bn + 2b2 + n2) = 0

Factor a trinomial.
6((b + -1n)(2b + -1n)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(b + -1n)' equal to zero and attempt to solve:

Simplifying
b + -1n = 0

Solving
b + -1n = 0

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

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

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

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

Simplifying
2b + -1n = 0

Solving
2b + -1n = 0

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

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

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

Divide each side by '2'.
b = 0.5n

Simplifying
b = 0.5n
Solution
b = {n, 0.5n}