7n^2+75n+50=0

Solution for 7n^2+75n+50=0 equation:

Simplifying
7n2 + 75n + 50 = 0

Reorder the terms:
50 + 75n + 7n2 = 0

Solving
50 + 75n + 7n2 = 0

Solving for variable 'n'.

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

Subproblem 1
Set the factor '(10 + n)' equal to zero and attempt to solve:

Simplifying
10 + n = 0

Solving
10 + n = 0

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

Add '-10' to each side of the equation.
10 + -10 + n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + n = 0 + -10
n = 0 + -10

Combine like terms: 0 + -10 = -10
n = -10

Simplifying
n = -10
Subproblem 2
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
Solution
n = {-10, -0.7142857143}