2n^2+23n-124=0

Solution for 2n^2+23n-124=0 equation:

Simplifying
2n2 + 23n + -124 = 0

Reorder the terms:
-124 + 23n + 2n2 = 0

Solving
-124 + 23n + 2n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-31 + -2n)(4 + -1n) = 0

Subproblem 1
Set the factor '(-31 + -2n)' equal to zero and attempt to solve:

Simplifying
-31 + -2n = 0

Solving
-31 + -2n = 0

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

Add '31' to each side of the equation.
-31 + 31 + -2n = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -2n = 0 + 31
-2n = 0 + 31

Combine like terms: 0 + 31 = 31
-2n = 31

Divide each side by '-2'.
n = -15.5

Simplifying
n = -15.5
Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve:

Simplifying
4 + -1n = 0

Solving
4 + -1n = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4
Solution
n = {-15.5, 4}