3n(5n+8-4n)=

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Solution for 3n(5n+8-4n)= equation: 


Simplifying
3n(5n + 8 + -4n) = 0

Reorder the terms:
3n(8 + 5n + -4n) = 0

Combine like terms: 5n + -4n = 1n
3n(8 + 1n) = 0
(8 * 3n + 1n * 3n) = 0
(24n + 3n2) = 0

Solving
24n + 3n2 = 0

Solving for variable 'n'.

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

Ignore the factor 3.

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(8 + n)' equal to zero and attempt to solve:

Simplifying
8 + n = 0

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

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

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

Simplifying
n = -8
Solution
n = {0, -8}

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