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

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

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

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

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

Solving
4 + -25n2 = 0

Solving for variable 'n'.

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

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

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

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

Divide each side by '-25'.
n2 = 0.16

Simplifying
n2 = 0.16

Take the square root of each side:
n = {-0.4, 0.4}