(-2n+15)(n-1)=0

Solution for (-2n+15)(n-1)=0 equation:

Simplifying
(-2n + 15)(n + -1) = 0

Reorder the terms:
(15 + -2n)(n + -1) = 0

Reorder the terms:
(15 + -2n)(-1 + n) = 0

Multiply (15 + -2n) * (-1 + n)
(15(-1 + n) + -2n * (-1 + n)) = 0
((-1 * 15 + n * 15) + -2n * (-1 + n)) = 0
((-15 + 15n) + -2n * (-1 + n)) = 0
(-15 + 15n + (-1 * -2n + n * -2n)) = 0
(-15 + 15n + (2n + -2n2)) = 0

Combine like terms: 15n + 2n = 17n
(-15 + 17n + -2n2) = 0

Solving
-15 + 17n + -2n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-15 + 2n)(1 + -1n) = 0

Subproblem 1
Set the factor '(-15 + 2n)' equal to zero and attempt to solve:

Simplifying
-15 + 2n = 0

Solving
-15 + 2n = 0

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

Add '15' to each side of the equation.
-15 + 15 + 2n = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2n = 0 + 15
2n = 0 + 15

Combine like terms: 0 + 15 = 15
2n = 15

Divide each side by '2'.
n = 7.5

Simplifying
n = 7.5
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 = {7.5, 1}