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

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

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

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

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

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

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

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

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

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

Divide each side by '25'.
n2 = 1

Simplifying
n2 = 1

Take the square root of each side:
n = {-1, 1}