n(3n+17)=0

Solution for n(3n+17)=0 equation:

Simplifying
n(3n + 17) = 0

Reorder the terms:
n(17 + 3n) = 0
(17 * n + 3n * n) = 0
(17n + 3n2) = 0

Solving
17n + 3n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(17 + 3n) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(17 + 3n)' equal to zero and attempt to solve:

Simplifying
17 + 3n = 0

Solving
17 + 3n = 0

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

Add '-17' to each side of the equation.
17 + -17 + 3n = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 3n = 0 + -17
3n = 0 + -17

Combine like terms: 0 + -17 = -17
3n = -17

Divide each side by '3'.
n = -5.666666667

Simplifying
n = -5.666666667
Solution
n = {0, -5.666666667}