3n(7n+2)=0

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Solution for 3n(7n+2)=0 equation: 


Simplifying
3n(7n + 2) = 0

Reorder the terms:
3n(2 + 7n) = 0
(2 * 3n + 7n * 3n) = 0
(6n + 21n2) = 0

Solving
6n + 21n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(2 + 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 '(2 + 7n)' equal to zero and attempt to solve:

Simplifying
2 + 7n = 0

Solving
2 + 7n = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7n = 0 + -2
7n = 0 + -2

Combine like terms: 0 + -2 = -2
7n = -2

Divide each side by '7'.
n = -0.2857142857

Simplifying
n = -0.2857142857
Solution
n = {0, -0.2857142857}

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