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

Solution for (n-5)(n+5)=0 equation:

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

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

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

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

Combine like terms: -5n + 5n = 0
(-25 + 0 + n2) = 0
(-25 + n2) = 0

Solving
-25 + n2 = 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 + n2 = 0 + 25

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

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

Simplifying
n2 = 25

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