n^2+5n+18=7363094

Solution for n^2+5n+18=7363094 equation:

Simplifying
n2 + 5n + 18 = 7363094

Reorder the terms:
18 + 5n + n2 = 7363094

Solving
18 + 5n + n2 = 7363094

Solving for variable 'n'.

Reorder the terms:
18 + -7363094 + 5n + n2 = 7363094 + -7363094

Combine like terms: 18 + -7363094 = -7363076
-7363076 + 5n + n2 = 7363094 + -7363094

Combine like terms: 7363094 + -7363094 = 0
-7363076 + 5n + n2 = 0

Factor a trinomial.
(-2716 + -1n)(2711 + -1n) = 0

Subproblem 1
Set the factor '(-2716 + -1n)' equal to zero and attempt to solve:

Simplifying
-2716 + -1n = 0

Solving
-2716 + -1n = 0

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

Add '2716' to each side of the equation.
-2716 + 2716 + -1n = 0 + 2716

Combine like terms: -2716 + 2716 = 0
0 + -1n = 0 + 2716
-1n = 0 + 2716

Combine like terms: 0 + 2716 = 2716
-1n = 2716

Divide each side by '-1'.
n = -2716

Simplifying
n = -2716
Subproblem 2
Set the factor '(2711 + -1n)' equal to zero and attempt to solve:

Simplifying
2711 + -1n = 0

Solving
2711 + -1n = 0

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

Add '-2711' to each side of the equation.
2711 + -2711 + -1n = 0 + -2711

Combine like terms: 2711 + -2711 = 0
0 + -1n = 0 + -2711
-1n = 0 + -2711

Combine like terms: 0 + -2711 = -2711
-1n = -2711

Divide each side by '-1'.
n = 2711

Simplifying
n = 2711
Solution
n = {-2716, 2711}