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

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

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

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

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

Multiply (1 + 2n) * (-1 + 2n)
(1(-1 + 2n) + 2n * (-1 + 2n)) = 0
((-1 * 1 + 2n * 1) + 2n * (-1 + 2n)) = 0
((-1 + 2n) + 2n * (-1 + 2n)) = 0
(-1 + 2n + (-1 * 2n + 2n * 2n)) = 0
(-1 + 2n + (-2n + 4n2)) = 0

Combine like terms: 2n + -2n = 0
(-1 + 0 + 4n2) = 0
(-1 + 4n2) = 0

Solving
-1 + 4n2 = 0

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + 4n2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4n2 = 0 + 1
4n2 = 0 + 1

Combine like terms: 0 + 1 = 1
4n2 = 1

Divide each side by '4'.
n2 = 0.25

Simplifying
n2 = 0.25

Take the square root of each side:
n = {-0.5, 0.5}