n^2-2n-7=-8

Solution for n^2-2n-7=-8 equation:

Simplifying
n2 + -2n + -7 = -8

Reorder the terms:
-7 + -2n + n2 = -8

Solving
-7 + -2n + n2 = -8

Solving for variable 'n'.

Reorder the terms:
-7 + 8 + -2n + n2 = -8 + 8

Combine like terms: -7 + 8 = 1
1 + -2n + n2 = -8 + 8

Combine like terms: -8 + 8 = 0
1 + -2n + n2 = 0

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

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

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

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

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

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

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

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

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

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

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

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

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

Simplifying
n = 1
Solution
n = {1, 1}