3n^2+8n-700=0

Solution for 3n^2+8n-700=0 equation:

Simplifying
3n2 + 8n + -700 = 0

Reorder the terms:
-700 + 8n + 3n2 = 0

Solving
-700 + 8n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-50 + -3n)(14 + -1n) = 0

Subproblem 1
Set the factor '(-50 + -3n)' equal to zero and attempt to solve:

Simplifying
-50 + -3n = 0

Solving
-50 + -3n = 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 + -3n = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -3n = 0 + 50
-3n = 0 + 50

Combine like terms: 0 + 50 = 50
-3n = 50

Divide each side by '-3'.
n = -16.66666667

Simplifying
n = -16.66666667
Subproblem 2
Set the factor '(14 + -1n)' equal to zero and attempt to solve:

Simplifying
14 + -1n = 0

Solving
14 + -1n = 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 + -1n = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1n = 0 + -14
-1n = 0 + -14

Combine like terms: 0 + -14 = -14
-1n = -14

Divide each side by '-1'.
n = 14

Simplifying
n = 14
Solution
n = {-16.66666667, 14}