8n^2-9n-6=-7

Solution for 8n^2-9n-6=-7 equation:

Simplifying
8n2 + -9n + -6 = -7

Reorder the terms:
-6 + -9n + 8n2 = -7

Solving
-6 + -9n + 8n2 = -7

Solving for variable 'n'.

Reorder the terms:
-6 + 7 + -9n + 8n2 = -7 + 7

Combine like terms: -6 + 7 = 1
1 + -9n + 8n2 = -7 + 7

Combine like terms: -7 + 7 = 0
1 + -9n + 8n2 = 0

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

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

Simplifying
1 + -8n = 0

Solving
1 + -8n = 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 + -8n = 0 + -1

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

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

Divide each side by '-8'.
n = 0.125

Simplifying
n = 0.125
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 = {0.125, 1}