n^2+n-9702=0

Solution for n^2+n-9702=0 equation:

Simplifying
n2 + n + -9702 = 0

Reorder the terms:
-9702 + n + n2 = 0

Solving
-9702 + n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-99 + -1n)(98 + -1n) = 0

Subproblem 1
Set the factor '(-99 + -1n)' equal to zero and attempt to solve:

Simplifying
-99 + -1n = 0

Solving
-99 + -1n = 0

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

Add '99' to each side of the equation.
-99 + 99 + -1n = 0 + 99

Combine like terms: -99 + 99 = 0
0 + -1n = 0 + 99
-1n = 0 + 99

Combine like terms: 0 + 99 = 99
-1n = 99

Divide each side by '-1'.
n = -99

Simplifying
n = -99
Subproblem 2
Set the factor '(98 + -1n)' equal to zero and attempt to solve:

Simplifying
98 + -1n = 0

Solving
98 + -1n = 0

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

Add '-98' to each side of the equation.
98 + -98 + -1n = 0 + -98

Combine like terms: 98 + -98 = 0
0 + -1n = 0 + -98
-1n = 0 + -98

Combine like terms: 0 + -98 = -98
-1n = -98

Divide each side by '-1'.
n = 98

Simplifying
n = 98
Solution
n = {-99, 98}