35n^2+4n-15=0

Solution for 35n^2+4n-15=0 equation:

Simplifying
35n2 + 4n + -15 = 0

Reorder the terms:
-15 + 4n + 35n2 = 0

Solving
-15 + 4n + 35n2 = 0

Solving for variable 'n'.

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

Subproblem 1
Set the factor '(-5 + -7n)' equal to zero and attempt to solve:

Simplifying
-5 + -7n = 0

Solving
-5 + -7n = 0

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

Add '5' to each side of the equation.
-5 + 5 + -7n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7n = 0 + 5
-7n = 0 + 5

Combine like terms: 0 + 5 = 5
-7n = 5

Divide each side by '-7'.
n = -0.7142857143

Simplifying
n = -0.7142857143
Subproblem 2
Set the factor '(3 + -5n)' equal to zero and attempt to solve:

Simplifying
3 + -5n = 0

Solving
3 + -5n = 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 + -5n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5n = 0 + -3
-5n = 0 + -3

Combine like terms: 0 + -3 = -3
-5n = -3

Divide each side by '-5'.
n = 0.6

Simplifying
n = 0.6
Solution
n = {-0.7142857143, 0.6}