n^2-13n+72=0

Solution for n^2-13n+72=0 equation:

Simplifying
n2 + -13n + 72 = 0

Reorder the terms:
72 + -13n + n2 = 0

Solving
72 + -13n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -13n + -72 + n2 = 0 + -72

Reorder the terms:
72 + -72 + -13n + n2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -13n + n2 = 0 + -72
-13n + n2 = 0 + -72

Combine like terms: 0 + -72 = -72
-13n + n2 = -72

The n term is -13n.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13n + 42.25 + n2 = -72 + 42.25

Reorder the terms:
42.25 + -13n + n2 = -72 + 42.25

Combine like terms: -72 + 42.25 = -29.75
42.25 + -13n + n2 = -29.75

Factor a perfect square on the left side:
(n + -6.5)(n + -6.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.