3n^2+35n-852=0

Solution for 3n^2+35n-852=0 equation:

Simplifying
3n2 + 35n + -852 = 0

Reorder the terms:
-852 + 35n + 3n2 = 0

Solving
-852 + 35n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-71 + -3n)(12 + -1n) = 0

Subproblem 1
Set the factor '(-71 + -3n)' equal to zero and attempt to solve:

Simplifying
-71 + -3n = 0

Solving
-71 + -3n = 0

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

Add '71' to each side of the equation.
-71 + 71 + -3n = 0 + 71

Combine like terms: -71 + 71 = 0
0 + -3n = 0 + 71
-3n = 0 + 71

Combine like terms: 0 + 71 = 71
-3n = 71

Divide each side by '-3'.
n = -23.66666667

Simplifying
n = -23.66666667
Subproblem 2
Set the factor '(12 + -1n)' equal to zero and attempt to solve:

Simplifying
12 + -1n = 0

Solving
12 + -1n = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1n = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1n = 0 + -12
-1n = 0 + -12

Combine like terms: 0 + -12 = -12
-1n = -12

Divide each side by '-1'.
n = 12

Simplifying
n = 12
Solution
n = {-23.66666667, 12}