7n^2+16n-60=0

Solution for 7n^2+16n-60=0 equation:

Simplifying
7n2 + 16n + -60 = 0

Reorder the terms:
-60 + 16n + 7n2 = 0

Solving
-60 + 16n + 7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-30 + -7n)(2 + -1n) = 0

Subproblem 1
Set the factor '(-30 + -7n)' equal to zero and attempt to solve:

Simplifying
-30 + -7n = 0

Solving
-30 + -7n = 0

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

Add '30' to each side of the equation.
-30 + 30 + -7n = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -7n = 0 + 30
-7n = 0 + 30

Combine like terms: 0 + 30 = 30
-7n = 30

Divide each side by '-7'.
n = -4.285714286

Simplifying
n = -4.285714286
Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 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 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {-4.285714286, 2}