3n^2+5n-288=0

Solution for 3n^2+5n-288=0 equation:

Simplifying
3n2 + 5n + -288 = 0

Reorder the terms:
-288 + 5n + 3n2 = 0

Solving
-288 + 5n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-32 + -3n)(9 + -1n) = 0

Subproblem 1
Set the factor '(-32 + -3n)' equal to zero and attempt to solve:

Simplifying
-32 + -3n = 0

Solving
-32 + -3n = 0

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

Add '32' to each side of the equation.
-32 + 32 + -3n = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -3n = 0 + 32
-3n = 0 + 32

Combine like terms: 0 + 32 = 32
-3n = 32

Divide each side by '-3'.
n = -10.66666667

Simplifying
n = -10.66666667
Subproblem 2
Set the factor '(9 + -1n)' equal to zero and attempt to solve:

Simplifying
9 + -1n = 0

Solving
9 + -1n = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1n = 0 + -9
-1n = 0 + -9

Combine like terms: 0 + -9 = -9
-1n = -9

Divide each side by '-1'.
n = 9

Simplifying
n = 9
Solution
n = {-10.66666667, 9}