(n-3)(2-3n)=

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

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

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

Multiply (-3 + n) * (2 + -3n)
(-3(2 + -3n) + n(2 + -3n)) = 0
((2 * -3 + -3n * -3) + n(2 + -3n)) = 0
((-6 + 9n) + n(2 + -3n)) = 0
(-6 + 9n + (2 * n + -3n * n)) = 0
(-6 + 9n + (2n + -3n2)) = 0

Combine like terms: 9n + 2n = 11n
(-6 + 11n + -3n2) = 0

Solving
-6 + 11n + -3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-3 + n)(2 + -3n) = 0

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

Simplifying
-3 + n = 0

Solving
-3 + n = 0

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

Add '3' to each side of the equation.
-3 + 3 + n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + n = 0 + 3
n = 0 + 3

Combine like terms: 0 + 3 = 3
n = 3

Simplifying
n = 3
Subproblem 2
Set the factor '(2 + -3n)' equal to zero and attempt to solve:

Simplifying
2 + -3n = 0

Solving
2 + -3n = 0

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

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

Combine like terms: 2 + -2 = 0
0 + -3n = 0 + -2
-3n = 0 + -2

Combine like terms: 0 + -2 = -2
-3n = -2

Divide each side by '-3'.
n = 0.6666666667

Simplifying
n = 0.6666666667
Solution
n = {3, 0.6666666667}