3n^2+7n-7850=0

Solution for 3n^2+7n-7850=0 equation:

Simplifying
3n2 + 7n + -7850 = 0

Reorder the terms:
-7850 + 7n + 3n2 = 0

Solving
-7850 + 7n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-157 + -3n)(50 + -1n) = 0

Subproblem 1
Set the factor '(-157 + -3n)' equal to zero and attempt to solve:

Simplifying
-157 + -3n = 0

Solving
-157 + -3n = 0

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

Add '157' to each side of the equation.
-157 + 157 + -3n = 0 + 157

Combine like terms: -157 + 157 = 0
0 + -3n = 0 + 157
-3n = 0 + 157

Combine like terms: 0 + 157 = 157
-3n = 157

Divide each side by '-3'.
n = -52.33333333

Simplifying
n = -52.33333333
Subproblem 2
Set the factor '(50 + -1n)' equal to zero and attempt to solve:

Simplifying
50 + -1n = 0

Solving
50 + -1n = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1n = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1n = 0 + -50
-1n = 0 + -50

Combine like terms: 0 + -50 = -50
-1n = -50

Divide each side by '-1'.
n = 50

Simplifying
n = 50
Solution
n = {-52.33333333, 50}