-7n^2+n+8=0

Solution for -7n^2+n+8=0 equation:

Simplifying
-7n2 + n + 8 = 0

Reorder the terms:
8 + n + -7n2 = 0

Solving
8 + n + -7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(8 + -7n)(1 + n) = 0

Subproblem 1
Set the factor '(8 + -7n)' equal to zero and attempt to solve:

Simplifying
8 + -7n = 0

Solving
8 + -7n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7n = 0 + -8
-7n = 0 + -8

Combine like terms: 0 + -8 = -8
-7n = -8

Divide each side by '-7'.
n = 1.142857143

Simplifying
n = 1.142857143
Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve:

Simplifying
1 + n = 0

Solving
1 + n = 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 + n = 0 + -1

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

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

Simplifying
n = -1
Solution
n = {1.142857143, -1}