2n-23=3+n^2

Solution for 2n-23=3+n^2 equation:

Simplifying
2n + -23 = 3 + n2

Reorder the terms:
-23 + 2n = 3 + n2

Solving
-23 + 2n = 3 + n2

Solving for variable 'n'.

Reorder the terms:
-23 + -3 + 2n + -1n2 = 3 + n2 + -3 + -1n2

Combine like terms: -23 + -3 = -26
-26 + 2n + -1n2 = 3 + n2 + -3 + -1n2

Reorder the terms:
-26 + 2n + -1n2 = 3 + -3 + n2 + -1n2

Combine like terms: 3 + -3 = 0
-26 + 2n + -1n2 = 0 + n2 + -1n2
-26 + 2n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
-26 + 2n + -1n2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
26 + -2n + n2 = 0

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + -2n + -26 + n2 = 0 + -26

Reorder the terms:
26 + -26 + -2n + n2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -2n + n2 = 0 + -26
-2n + n2 = 0 + -26

Combine like terms: 0 + -26 = -26
-2n + n2 = -26

The n term is -2n.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2n + 1 + n2 = -26 + 1

Reorder the terms:
1 + -2n + n2 = -26 + 1

Combine like terms: -26 + 1 = -25
1 + -2n + n2 = -25

Factor a perfect square on the left side:
(n + -1)(n + -1) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.