35n^2+15n+7n+3=0

Solution for 35n^2+15n+7n+3=0 equation:

Simplifying
35n2 + 15n + 7n + 3 = 0

Reorder the terms:
3 + 15n + 7n + 35n2 = 0

Combine like terms: 15n + 7n = 22n
3 + 22n + 35n2 = 0

Solving
3 + 22n + 35n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(3 + 7n)(1 + 5n) = 0

Subproblem 1
Set the factor '(3 + 7n)' equal to zero and attempt to solve:

Simplifying
3 + 7n = 0

Solving
3 + 7n = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7n = 0 + -3
7n = 0 + -3

Combine like terms: 0 + -3 = -3
7n = -3

Divide each side by '7'.
n = -0.4285714286

Simplifying
n = -0.4285714286
Subproblem 2
Set the factor '(1 + 5n)' equal to zero and attempt to solve:

Simplifying
1 + 5n = 0

Solving
1 + 5n = 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 + 5n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5n = 0 + -1
5n = 0 + -1

Combine like terms: 0 + -1 = -1
5n = -1

Divide each side by '5'.
n = -0.2

Simplifying
n = -0.2
Solution
n = {-0.4285714286, -0.2}