(3n-5)(3n+5)=

Solution for (3n-5)(3n+5)= equation:

Simplifying
(3n + -5)(3n + 5) = 0

Reorder the terms:
(-5 + 3n)(3n + 5) = 0

Reorder the terms:
(-5 + 3n)(5 + 3n) = 0

Multiply (-5 + 3n) * (5 + 3n)
(-5(5 + 3n) + 3n * (5 + 3n)) = 0
((5 * -5 + 3n * -5) + 3n * (5 + 3n)) = 0
((-25 + -15n) + 3n * (5 + 3n)) = 0
(-25 + -15n + (5 * 3n + 3n * 3n)) = 0
(-25 + -15n + (15n + 9n2)) = 0

Combine like terms: -15n + 15n = 0
(-25 + 0 + 9n2) = 0
(-25 + 9n2) = 0

Solving
-25 + 9n2 = 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 + 9n2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 9n2 = 0 + 25
9n2 = 0 + 25

Combine like terms: 0 + 25 = 25
9n2 = 25

Divide each side by '9'.
n2 = 2.777777778

Simplifying
n2 = 2.777777778

Take the square root of each side:
n = {-1.666666667, 1.666666667}