(2n+5)(2n-5)=

Solution for (2n+5)(2n-5)= equation:

Simplifying
(2n + 5)(2n + -5) = 0

Reorder the terms:
(5 + 2n)(2n + -5) = 0

Reorder the terms:
(5 + 2n)(-5 + 2n) = 0

Multiply (5 + 2n) * (-5 + 2n)
(5(-5 + 2n) + 2n * (-5 + 2n)) = 0
((-5 * 5 + 2n * 5) + 2n * (-5 + 2n)) = 0
((-25 + 10n) + 2n * (-5 + 2n)) = 0
(-25 + 10n + (-5 * 2n + 2n * 2n)) = 0
(-25 + 10n + (-10n + 4n2)) = 0

Combine like terms: 10n + -10n = 0
(-25 + 0 + 4n2) = 0
(-25 + 4n2) = 0

Solving
-25 + 4n2 = 0

Solving for variable 'n'.

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

Add '25' to each side of the equation.
-25 + 25 + 4n2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 4n2 = 0 + 25
4n2 = 0 + 25

Combine like terms: 0 + 25 = 25
4n2 = 25

Divide each side by '4'.
n2 = 6.25

Simplifying
n2 = 6.25

Take the square root of each side:
n = {-2.5, 2.5}