(n-2)(12n+1)=

Solution for (n-2)(12n+1)= equation:

Simplifying
(n + -2)(12n + 1) = 0

Reorder the terms:
(-2 + n)(12n + 1) = 0

Reorder the terms:
(-2 + n)(1 + 12n) = 0

Multiply (-2 + n) * (1 + 12n)
(-2(1 + 12n) + n(1 + 12n)) = 0
((1 * -2 + 12n * -2) + n(1 + 12n)) = 0
((-2 + -24n) + n(1 + 12n)) = 0
(-2 + -24n + (1 * n + 12n * n)) = 0
(-2 + -24n + (1n + 12n2)) = 0

Combine like terms: -24n + 1n = -23n
(-2 + -23n + 12n2) = 0

Solving
-2 + -23n + 12n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-1 + -12n)(2 + -1n) = 0

Subproblem 1
Set the factor '(-1 + -12n)' equal to zero and attempt to solve:

Simplifying
-1 + -12n = 0

Solving
-1 + -12n = 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 + -12n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -12n = 0 + 1
-12n = 0 + 1

Combine like terms: 0 + 1 = 1
-12n = 1

Divide each side by '-12'.
n = -0.08333333333

Simplifying
n = -0.08333333333
Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 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 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {-0.08333333333, 2}