35n^2+250n+240=

Solution for 35n^2+250n+240= equation:

Simplifying
35n2 + 250n + 240 = 0

Reorder the terms:
240 + 250n + 35n2 = 0

Solving
240 + 250n + 35n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5'.
5(48 + 50n + 7n2) = 0

Factor a trinomial.
5((6 + n)(8 + 7n)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(6 + n)' equal to zero and attempt to solve:

Simplifying
6 + n = 0

Solving
6 + n = 0

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

Add '-6' to each side of the equation.
6 + -6 + n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + n = 0 + -6
n = 0 + -6

Combine like terms: 0 + -6 = -6
n = -6

Simplifying
n = -6
Subproblem 2
Set the factor '(8 + 7n)' equal to zero and attempt to solve:

Simplifying
8 + 7n = 0

Solving
8 + 7n = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7n = 0 + -8
7n = 0 + -8

Combine like terms: 0 + -8 = -8
7n = -8

Divide each side by '7'.
n = -1.142857143

Simplifying
n = -1.142857143
Solution
n = {-6, -1.142857143}