n^2=5n-63

Solution for n^2=5n-63 equation:

Simplifying
n2 = 5n + -63

Reorder the terms:
n2 = -63 + 5n

Solving
n2 = -63 + 5n

Solving for variable 'n'.

Reorder the terms:
63 + -5n + n2 = -63 + 5n + 63 + -5n

Reorder the terms:
63 + -5n + n2 = -63 + 63 + 5n + -5n

Combine like terms: -63 + 63 = 0
63 + -5n + n2 = 0 + 5n + -5n
63 + -5n + n2 = 5n + -5n

Combine like terms: 5n + -5n = 0
63 + -5n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-63' to each side of the equation.
63 + -5n + -63 + n2 = 0 + -63

Reorder the terms:
63 + -63 + -5n + n2 = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -5n + n2 = 0 + -63
-5n + n2 = 0 + -63

Combine like terms: 0 + -63 = -63
-5n + n2 = -63

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 = -63 + 6.25

Reorder the terms:
6.25 + -5n + n2 = -63 + 6.25

Combine like terms: -63 + 6.25 = -56.75
6.25 + -5n + n2 = -56.75

Factor a perfect square on the left side:
(n + -2.5)(n + -2.5) = -56.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.