0=-4n^2-13n+17

Solution for 0=-4n^2-13n+17 equation:

Simplifying
0 = -4n2 + -13n + 17

Reorder the terms:
0 = 17 + -13n + -4n2

Solving
0 = 17 + -13n + -4n2

Solving for variable 'n'.

Combine like terms: 0 + -17 = -17
-17 + 13n + 4n2 = 17 + -13n + -4n2 + -17 + 13n + 4n2

Reorder the terms:
-17 + 13n + 4n2 = 17 + -17 + -13n + 13n + -4n2 + 4n2

Combine like terms: 17 + -17 = 0
-17 + 13n + 4n2 = 0 + -13n + 13n + -4n2 + 4n2
-17 + 13n + 4n2 = -13n + 13n + -4n2 + 4n2

Combine like terms: -13n + 13n = 0
-17 + 13n + 4n2 = 0 + -4n2 + 4n2
-17 + 13n + 4n2 = -4n2 + 4n2

Combine like terms: -4n2 + 4n2 = 0
-17 + 13n + 4n2 = 0

Factor a trinomial.
(-17 + -4n)(1 + -1n) = 0

Subproblem 1
Set the factor '(-17 + -4n)' equal to zero and attempt to solve:

Simplifying
-17 + -4n = 0

Solving
-17 + -4n = 0

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

Add '17' to each side of the equation.
-17 + 17 + -4n = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -4n = 0 + 17
-4n = 0 + 17

Combine like terms: 0 + 17 = 17
-4n = 17

Divide each side by '-4'.
n = -4.25

Simplifying
n = -4.25
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

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

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

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

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

Simplifying
n = 1
Solution
n = {-4.25, 1}