n^2+4n-1020=0

Solution for n^2+4n-1020=0 equation:

Simplifying
n2 + 4n + -1020 = 0

Reorder the terms:
-1020 + 4n + n2 = 0

Solving
-1020 + 4n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-34 + -1n)(30 + -1n) = 0

Subproblem 1
Set the factor '(-34 + -1n)' equal to zero and attempt to solve:

Simplifying
-34 + -1n = 0

Solving
-34 + -1n = 0

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

Add '34' to each side of the equation.
-34 + 34 + -1n = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -1n = 0 + 34
-1n = 0 + 34

Combine like terms: 0 + 34 = 34
-1n = 34

Divide each side by '-1'.
n = -34

Simplifying
n = -34
Subproblem 2
Set the factor '(30 + -1n)' equal to zero and attempt to solve:

Simplifying
30 + -1n = 0

Solving
30 + -1n = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1n = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1n = 0 + -30
-1n = 0 + -30

Combine like terms: 0 + -30 = -30
-1n = -30

Divide each side by '-1'.
n = 30

Simplifying
n = 30
Solution
n = {-34, 30}