(2n+1)squared-(2n+1)=0

Solution for (2n+1)squared-(2n+1)=0 equation:

Simplifying
(2n + 1) * squared + -1(2n + 1) = 0

Reorder the terms:
(1 + 2n) * squared + -1(2n + 1) = 0

Reorder the terms for easier multiplication:
adeqrsu(1 + 2n) + -1(2n + 1) = 0
(1 * adeqrsu + 2n * adeqrsu) + -1(2n + 1) = 0

Reorder the terms:
(2adenqrsu + 1adeqrsu) + -1(2n + 1) = 0
(2adenqrsu + 1adeqrsu) + -1(2n + 1) = 0

Reorder the terms:
2adenqrsu + 1adeqrsu + -1(1 + 2n) = 0
2adenqrsu + 1adeqrsu + (1 * -1 + 2n * -1) = 0
2adenqrsu + 1adeqrsu + (-1 + -2n) = 0

Reorder the terms:
-1 + 2adenqrsu + 1adeqrsu + -2n = 0

Solving
-1 + 2adenqrsu + 1adeqrsu + -2n = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 2adenqrsu + 1adeqrsu + 1 + -2n = 0 + 1

Reorder the terms:
-1 + 1 + 2adenqrsu + 1adeqrsu + -2n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2adenqrsu + 1adeqrsu + -2n = 0 + 1
2adenqrsu + 1adeqrsu + -2n = 0 + 1

Combine like terms: 0 + 1 = 1
2adenqrsu + 1adeqrsu + -2n = 1

Add '2n' to each side of the equation.
2adenqrsu + 1adeqrsu + -2n + 2n = 1 + 2n

Combine like terms: -2n + 2n = 0
2adenqrsu + 1adeqrsu + 0 = 1 + 2n
2adenqrsu + 1adeqrsu = 1 + 2n

Reorder the terms:
-1 + 2adenqrsu + 1adeqrsu + -2n = 1 + 2n + -1 + -2n

Reorder the terms:
-1 + 2adenqrsu + 1adeqrsu + -2n = 1 + -1 + 2n + -2n

Combine like terms: 1 + -1 = 0
-1 + 2adenqrsu + 1adeqrsu + -2n = 0 + 2n + -2n
-1 + 2adenqrsu + 1adeqrsu + -2n = 2n + -2n

Combine like terms: 2n + -2n = 0
-1 + 2adenqrsu + 1adeqrsu + -2n = 0

The solution to this equation could not be determined.