5n^2-16n-20=-4

Solution for 5n^2-16n-20=-4 equation:

Simplifying
5n2 + -16n + -20 = -4

Reorder the terms:
-20 + -16n + 5n2 = -4

Solving
-20 + -16n + 5n2 = -4

Solving for variable 'n'.

Reorder the terms:
-20 + 4 + -16n + 5n2 = -4 + 4

Combine like terms: -20 + 4 = -16
-16 + -16n + 5n2 = -4 + 4

Combine like terms: -4 + 4 = 0
-16 + -16n + 5n2 = 0

Factor a trinomial.
(-4 + -5n)(4 + -1n) = 0

Subproblem 1
Set the factor '(-4 + -5n)' equal to zero and attempt to solve:

Simplifying
-4 + -5n = 0

Solving
-4 + -5n = 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 + -5n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5n = 0 + 4
-5n = 0 + 4

Combine like terms: 0 + 4 = 4
-5n = 4

Divide each side by '-5'.
n = -0.8

Simplifying
n = -0.8
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 = {-0.8, 4}