2n^2+13n+23=2

Solution for 2n^2+13n+23=2 equation:

Simplifying
2n2 + 13n + 23 = 2

Reorder the terms:
23 + 13n + 2n2 = 2

Solving
23 + 13n + 2n2 = 2

Solving for variable 'n'.

Reorder the terms:
23 + -2 + 13n + 2n2 = 2 + -2

Combine like terms: 23 + -2 = 21
21 + 13n + 2n2 = 2 + -2

Combine like terms: 2 + -2 = 0
21 + 13n + 2n2 = 0

Factor a trinomial.
(7 + 2n)(3 + n) = 0

Subproblem 1
Set the factor '(7 + 2n)' equal to zero and attempt to solve:

Simplifying
7 + 2n = 0

Solving
7 + 2n = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2n = 0 + -7
2n = 0 + -7

Combine like terms: 0 + -7 = -7
2n = -7

Divide each side by '2'.
n = -3.5

Simplifying
n = -3.5
Subproblem 2
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
Solution
n = {-3.5, -3}