35n^2+10n=0

Solution for 35n^2+10n=0 equation:

Simplifying
35n2 + 10n = 0

Reorder the terms:
10n + 35n2 = 0

Solving
10n + 35n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5n'.
5n(2 + 7n) = 0

Ignore the factor 5.
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 '(2 + 7n)' equal to zero and attempt to solve:

Simplifying
2 + 7n = 0

Solving
2 + 7n = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7n = 0 + -2
7n = 0 + -2

Combine like terms: 0 + -2 = -2
7n = -2

Divide each side by '7'.
n = -0.2857142857

Simplifying
n = -0.2857142857
Solution
n = {0, -0.2857142857}