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

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

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

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

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

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

Combine like terms: 15n + -9n = 6n
(-15 + 6n + 9n2) = 0

Solving
-15 + 6n + 9n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 2n + 3n2) = 0

Factor a trinomial.
3((-5 + -3n)(1 + -1n)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-5 + -3n)' equal to zero and attempt to solve:

Simplifying
-5 + -3n = 0

Solving
-5 + -3n = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3n = 0 + 5
-3n = 0 + 5

Combine like terms: 0 + 5 = 5
-3n = 5

Divide each side by '-3'.
n = -1.666666667

Simplifying
n = -1.666666667
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Solution
n = {-1.666666667, 1}