(3n+4)(8n-8)=

Solution for (3n+4)(8n-8)= equation:

Simplifying
(3n + 4)(8n + -8) = 0

Reorder the terms:
(4 + 3n)(8n + -8) = 0

Reorder the terms:
(4 + 3n)(-8 + 8n) = 0

Multiply (4 + 3n) * (-8 + 8n)
(4(-8 + 8n) + 3n * (-8 + 8n)) = 0
((-8 * 4 + 8n * 4) + 3n * (-8 + 8n)) = 0
((-32 + 32n) + 3n * (-8 + 8n)) = 0
(-32 + 32n + (-8 * 3n + 8n * 3n)) = 0
(-32 + 32n + (-24n + 24n2)) = 0

Combine like terms: 32n + -24n = 8n
(-32 + 8n + 24n2) = 0

Solving
-32 + 8n + 24n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-4 + n + 3n2) = 0

Factor a trinomial.
8((-4 + -3n)(1 + -1n)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-4 + -3n)' equal to zero and attempt to solve:

Simplifying
-4 + -3n = 0

Solving
-4 + -3n = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3n = 0 + 4
-3n = 0 + 4

Combine like terms: 0 + 4 = 4
-3n = 4

Divide each side by '-3'.
n = -1.333333333

Simplifying
n = -1.333333333
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 = {-1.333333333, 1}