N^2+n+9=n+45

Solution for N^2+n+9=n+45 equation:

Simplifying
N2 + n + 9 = n + 45

Reorder the terms:
9 + N2 + n = n + 45

Reorder the terms:
9 + N2 + n = 45 + n

Add '-1n' to each side of the equation.
9 + N2 + n + -1n = 45 + n + -1n

Combine like terms: n + -1n = 0
9 + N2 + 0 = 45 + n + -1n
9 + N2 = 45 + n + -1n

Combine like terms: n + -1n = 0
9 + N2 = 45 + 0
9 + N2 = 45

Solving
9 + N2 = 45

Solving for variable 'N'.

Move all terms containing N to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + N2 = 45 + -9

Combine like terms: 9 + -9 = 0
0 + N2 = 45 + -9
N2 = 45 + -9

Combine like terms: 45 + -9 = 36
N2 = 36

Simplifying
N2 = 36

Take the square root of each side:
N = {-6, 6}