(3n+7)(3n-7)=

Solution for (3n+7)(3n-7)= equation:

Simplifying
(3n + 7)(3n + -7) = 0

Reorder the terms:
(7 + 3n)(3n + -7) = 0

Reorder the terms:
(7 + 3n)(-7 + 3n) = 0

Multiply (7 + 3n) * (-7 + 3n)
(7(-7 + 3n) + 3n * (-7 + 3n)) = 0
((-7 * 7 + 3n * 7) + 3n * (-7 + 3n)) = 0
((-49 + 21n) + 3n * (-7 + 3n)) = 0
(-49 + 21n + (-7 * 3n + 3n * 3n)) = 0
(-49 + 21n + (-21n + 9n2)) = 0

Combine like terms: 21n + -21n = 0
(-49 + 0 + 9n2) = 0
(-49 + 9n2) = 0

Solving
-49 + 9n2 = 0

Solving for variable 'n'.

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

Add '49' to each side of the equation.
-49 + 49 + 9n2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 9n2 = 0 + 49
9n2 = 0 + 49

Combine like terms: 0 + 49 = 49
9n2 = 49

Divide each side by '9'.
n2 = 5.444444444

Simplifying
n2 = 5.444444444

Take the square root of each side:
n = {-2.333333333, 2.333333333}