n(n+2)=2n+25

Solution for n(n+2)=2n+25 equation:

Simplifying
n(n + 2) = 2n + 25

Reorder the terms:
n(2 + n) = 2n + 25
(2 * n + n * n) = 2n + 25
(2n + n2) = 2n + 25

Reorder the terms:
2n + n2 = 25 + 2n

Add '-2n' to each side of the equation.
2n + -2n + n2 = 25 + 2n + -2n

Combine like terms: 2n + -2n = 0
0 + n2 = 25 + 2n + -2n
n2 = 25 + 2n + -2n

Combine like terms: 2n + -2n = 0
n2 = 25 + 0
n2 = 25

Solving
n2 = 25

Solving for variable 'n'.

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

Simplifying
n2 = 25

Take the square root of each side:
n = {-5, 5}