7n^2+62n+48=0

Solution for 7n^2+62n+48=0 equation:

Simplifying
7n2 + 62n + 48 = 0

Reorder the terms:
48 + 62n + 7n2 = 0

Solving
48 + 62n + 7n2 = 0

Solving for variable 'n'.

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

Subproblem 1
Set the factor '(8 + n)' equal to zero and attempt to solve:

Simplifying
8 + n = 0

Solving
8 + n = 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 + n = 0 + -8

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

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

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

Simplifying
6 + 7n = 0

Solving
6 + 7n = 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 + 7n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = 0 + -6
7n = 0 + -6

Combine like terms: 0 + -6 = -6
7n = -6

Divide each side by '7'.
n = -0.8571428571

Simplifying
n = -0.8571428571
Solution
n = {-8, -0.8571428571}