3n^2+18n^2+24n=0

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Solution for 3n^2+18n^2+24n=0 equation: 


Simplifying
3n2 + 18n2 + 24n = 0

Reorder the terms:
24n + 3n2 + 18n2 = 0

Combine like terms: 3n2 + 18n2 = 21n2
24n + 21n2 = 0

Solving
24n + 21n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(8 + 7n) = 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 + 7n)' equal to zero and attempt to solve:

Simplifying
8 + 7n = 0

Solving
8 + 7n = 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 + 7n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7n = 0 + -8
7n = 0 + -8

Combine like terms: 0 + -8 = -8
7n = -8

Divide each side by '7'.
n = -1.142857143

Simplifying
n = -1.142857143
Solution
n = {0, -1.142857143}

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