6n(3n+8)=0

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Solution for 6n(3n+8)=0 equation: 


Simplifying
6n(3n + 8) = 0

Reorder the terms:
6n(8 + 3n) = 0
(8 * 6n + 3n * 6n) = 0
(48n + 18n2) = 0

Solving
48n + 18n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n'.
6n(8 + 3n) = 0

Ignore the factor 6.

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 + 3n)' equal to zero and attempt to solve:

Simplifying
8 + 3n = 0

Solving
8 + 3n = 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 + 3n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3n = 0 + -8
3n = 0 + -8

Combine like terms: 0 + -8 = -8
3n = -8

Divide each side by '3'.
n = -2.666666667

Simplifying
n = -2.666666667
Solution
n = {0, -2.666666667}

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