(n-5)(n+5)=28

Solution for (n-5)(n+5)=28 equation:

Simplifying
(n + -5)(n + 5) = 28

Reorder the terms:
(-5 + n)(n + 5) = 28

Reorder the terms:
(-5 + n)(5 + n) = 28

Multiply (-5 + n) * (5 + n)
(-5(5 + n) + n(5 + n)) = 28
((5 * -5 + n * -5) + n(5 + n)) = 28
((-25 + -5n) + n(5 + n)) = 28
(-25 + -5n + (5 * n + n * n)) = 28
(-25 + -5n + (5n + n2)) = 28

Combine like terms: -5n + 5n = 0
(-25 + 0 + n2) = 28
(-25 + n2) = 28

Solving
-25 + n2 = 28

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 = 28 + 25

Combine like terms: -25 + 25 = 0
0 + n2 = 28 + 25
n2 = 28 + 25

Combine like terms: 28 + 25 = 53
n2 = 53

Simplifying
n2 = 53

Take the square root of each side:
n = {-7.280109889, 7.280109889}