n^2+5n+50=0

Solution for n^2+5n+50=0 equation:

Simplifying
n2 + 5n + 50 = 0

Reorder the terms:
50 + 5n + n2 = 0

Solving
50 + 5n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + 5n + -50 + n2 = 0 + -50

Reorder the terms:
50 + -50 + 5n + n2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 5n + n2 = 0 + -50
5n + n2 = 0 + -50

Combine like terms: 0 + -50 = -50
5n + n2 = -50

The n term is 5n.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5n + 6.25 + n2 = -50 + 6.25

Reorder the terms:
6.25 + 5n + n2 = -50 + 6.25

Combine like terms: -50 + 6.25 = -43.75
6.25 + 5n + n2 = -43.75

Factor a perfect square on the left side:
(n + 2.5)(n + 2.5) = -43.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.