5n^2-13n+36=0

Solution for 5n^2-13n+36=0 equation:

Simplifying
5n2 + -13n + 36 = 0

Reorder the terms:
36 + -13n + 5n2 = 0

Solving
36 + -13n + 5n2 = 0

Solving for variable 'n'.

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
7.2 + -2.6n + n2 = 0

Move the constant term to the right:

Add '-7.2' to each side of the equation.
7.2 + -2.6n + -7.2 + n2 = 0 + -7.2

Reorder the terms:
7.2 + -7.2 + -2.6n + n2 = 0 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + -2.6n + n2 = 0 + -7.2
-2.6n + n2 = 0 + -7.2

Combine like terms: 0 + -7.2 = -7.2
-2.6n + n2 = -7.2

The n term is -2.6n.  Take half its coefficient (-1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
-2.6n + 1.69 + n2 = -7.2 + 1.69

Reorder the terms:
1.69 + -2.6n + n2 = -7.2 + 1.69

Combine like terms: -7.2 + 1.69 = -5.51
1.69 + -2.6n + n2 = -5.51

Factor a perfect square on the left side:
(n + -1.3)(n + -1.3) = -5.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.