3+n^2=2n-9

Solution for 3+n^2=2n-9 equation:

Simplifying
3 + n2 = 2n + -9

Reorder the terms:
3 + n2 = -9 + 2n

Solving
3 + n2 = -9 + 2n

Solving for variable 'n'.

Reorder the terms:
3 + 9 + -2n + n2 = -9 + 2n + 9 + -2n

Combine like terms: 3 + 9 = 12
12 + -2n + n2 = -9 + 2n + 9 + -2n

Reorder the terms:
12 + -2n + n2 = -9 + 9 + 2n + -2n

Combine like terms: -9 + 9 = 0
12 + -2n + n2 = 0 + 2n + -2n
12 + -2n + n2 = 2n + -2n

Combine like terms: 2n + -2n = 0
12 + -2n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -2n + -12 + n2 = 0 + -12

Reorder the terms:
12 + -12 + -2n + n2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -2n + n2 = 0 + -12
-2n + n2 = 0 + -12

Combine like terms: 0 + -12 = -12
-2n + n2 = -12

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 = -12 + 1

Reorder the terms:
1 + -2n + n2 = -12 + 1

Combine like terms: -12 + 1 = -11
1 + -2n + n2 = -11

Factor a perfect square on the left side:
(n + -1)(n + -1) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.