(1-n)(2n-3)=0

Solution for (1-n)(2n-3)=0 equation:

Simplifying
(1 + -1n)(2n + -3) = 0

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

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

Combine like terms: 2n + 3n = 5n
(-3 + 5n + -2n2) = 0

Solving
-3 + 5n + -2n2 = 0

Solving for variable 'n'.

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

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

Simplifying
-3 + 2n = 0

Solving
-3 + 2n = 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 + 2n = 0 + 3

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

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

Divide each side by '2'.
n = 1.5

Simplifying
n = 1.5
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Solution
n = {1.5, 1}