3n^2+13n-430=0

Solution for 3n^2+13n-430=0 equation:

Simplifying
3n2 + 13n + -430 = 0

Reorder the terms:
-430 + 13n + 3n2 = 0

Solving
-430 + 13n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-43 + -3n)(10 + -1n) = 0

Subproblem 1
Set the factor '(-43 + -3n)' equal to zero and attempt to solve:

Simplifying
-43 + -3n = 0

Solving
-43 + -3n = 0

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

Add '43' to each side of the equation.
-43 + 43 + -3n = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -3n = 0 + 43
-3n = 0 + 43

Combine like terms: 0 + 43 = 43
-3n = 43

Divide each side by '-3'.
n = -14.33333333

Simplifying
n = -14.33333333
Subproblem 2
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
Solution
n = {-14.33333333, 10}