n(n+3)=304

Solution for n(n+3)=304 equation:

Simplifying
n(n + 3) = 304

Reorder the terms:
n(3 + n) = 304
(3 * n + n * n) = 304
(3n + n2) = 304

Solving
3n + n2 = 304

Solving for variable 'n'.

Reorder the terms:
-304 + 3n + n2 = 304 + -304

Combine like terms: 304 + -304 = 0
-304 + 3n + n2 = 0

Factor a trinomial.
(-19 + -1n)(16 + -1n) = 0

Subproblem 1
Set the factor '(-19 + -1n)' equal to zero and attempt to solve:

Simplifying
-19 + -1n = 0

Solving
-19 + -1n = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1n = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1n = 0 + 19
-1n = 0 + 19

Combine like terms: 0 + 19 = 19
-1n = 19

Divide each side by '-1'.
n = -19

Simplifying
n = -19
Subproblem 2
Set the factor '(16 + -1n)' equal to zero and attempt to solve:

Simplifying
16 + -1n = 0

Solving
16 + -1n = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1n = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = 0 + -16
-1n = 0 + -16

Combine like terms: 0 + -16 = -16
-1n = -16

Divide each side by '-1'.
n = 16

Simplifying
n = 16
Solution
n = {-19, 16}