(8n+8)(7n+3)=

Solution for (8n+8)(7n+3)= equation:

Simplifying
(8n + 8)(7n + 3) = 0

Reorder the terms:
(8 + 8n)(7n + 3) = 0

Reorder the terms:
(8 + 8n)(3 + 7n) = 0

Multiply (8 + 8n) * (3 + 7n)
(8(3 + 7n) + 8n * (3 + 7n)) = 0
((3 * 8 + 7n * 8) + 8n * (3 + 7n)) = 0
((24 + 56n) + 8n * (3 + 7n)) = 0
(24 + 56n + (3 * 8n + 7n * 8n)) = 0
(24 + 56n + (24n + 56n2)) = 0

Combine like terms: 56n + 24n = 80n
(24 + 80n + 56n2) = 0

Solving
24 + 80n + 56n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + 10n + 7n2) = 0

Factor a trinomial.
8((1 + n)(3 + 7n)) = 0

Ignore the factor 8.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + 7n)' equal to zero and attempt to solve:

Simplifying
3 + 7n = 0

Solving
3 + 7n = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7n = 0 + -3
7n = 0 + -3

Combine like terms: 0 + -3 = -3
7n = -3

Divide each side by '7'.
n = -0.4285714286

Simplifying
n = -0.4285714286
Solution
n = {-1, -0.4285714286}