2n^2+13n-20=4

Solution for 2n^2+13n-20=4 equation:

Simplifying
2n2 + 13n + -20 = 4

Reorder the terms:
-20 + 13n + 2n2 = 4

Solving
-20 + 13n + 2n2 = 4

Solving for variable 'n'.

Reorder the terms:
-20 + -4 + 13n + 2n2 = 4 + -4

Combine like terms: -20 + -4 = -24
-24 + 13n + 2n2 = 4 + -4

Combine like terms: 4 + -4 = 0
-24 + 13n + 2n2 = 0

Factor a trinomial.
(-8 + -1n)(3 + -2n) = 0

Subproblem 1
Set the factor '(-8 + -1n)' equal to zero and attempt to solve:

Simplifying
-8 + -1n = 0

Solving
-8 + -1n = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1n = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1n = 0 + 8
-1n = 0 + 8

Combine like terms: 0 + 8 = 8
-1n = 8

Divide each side by '-1'.
n = -8

Simplifying
n = -8
Subproblem 2
Set the factor '(3 + -2n)' equal to zero and attempt to solve:

Simplifying
3 + -2n = 0

Solving
3 + -2n = 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 + -2n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2n = 0 + -3
-2n = 0 + -3

Combine like terms: 0 + -3 = -3
-2n = -3

Divide each side by '-2'.
n = 1.5

Simplifying
n = 1.5
Solution
n = {-8, 1.5}