-3n^2+16n+140=0

Solution for -3n^2+16n+140=0 equation:

Simplifying
-3n2 + 16n + 140 = 0

Reorder the terms:
140 + 16n + -3n2 = 0

Solving
140 + 16n + -3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(10 + -1n)(14 + 3n) = 0

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

Simplifying
10 + -1n = 0

Solving
10 + -1n = 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 + -1n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1n = 0 + -10
-1n = 0 + -10

Combine like terms: 0 + -10 = -10
-1n = -10

Divide each side by '-1'.
n = 10

Simplifying
n = 10
Subproblem 2
Set the factor '(14 + 3n)' equal to zero and attempt to solve:

Simplifying
14 + 3n = 0

Solving
14 + 3n = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3n = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3n = 0 + -14
3n = 0 + -14

Combine like terms: 0 + -14 = -14
3n = -14

Divide each side by '3'.
n = -4.666666667

Simplifying
n = -4.666666667
Solution
n = {10, -4.666666667}