56n^2-8n-7n+1=0

Solution for 56n^2-8n-7n+1=0 equation:

Simplifying
56n2 + -8n + -7n + 1 = 0

Reorder the terms:
1 + -8n + -7n + 56n2 = 0

Combine like terms: -8n + -7n = -15n
1 + -15n + 56n2 = 0

Solving
1 + -15n + 56n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + -8n)(1 + -7n) = 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 + -7n)' equal to zero and attempt to solve:

Simplifying
1 + -7n = 0

Solving
1 + -7n = 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 + -7n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7n = 0 + -1
-7n = 0 + -1

Combine like terms: 0 + -1 = -1
-7n = -1

Divide each side by '-7'.
n = 0.1428571429

Simplifying
n = 0.1428571429
Solution
n = {0.125, 0.1428571429}