7n^2+4n-1428=0

Solution for 7n^2+4n-1428=0 equation:

Simplifying
7n2 + 4n + -1428 = 0

Reorder the terms:
-1428 + 4n + 7n2 = 0

Solving
-1428 + 4n + 7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-102 + -7n)(14 + -1n) = 0

Subproblem 1
Set the factor '(-102 + -7n)' equal to zero and attempt to solve:

Simplifying
-102 + -7n = 0

Solving
-102 + -7n = 0

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

Add '102' to each side of the equation.
-102 + 102 + -7n = 0 + 102

Combine like terms: -102 + 102 = 0
0 + -7n = 0 + 102
-7n = 0 + 102

Combine like terms: 0 + 102 = 102
-7n = 102

Divide each side by '-7'.
n = -14.57142857

Simplifying
n = -14.57142857
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 = {-14.57142857, 14}