(5n)(3n+5)=0

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Solution for (5n)(3n+5)=0 equation: 


Simplifying
(5n)(3n + 5) = 0

Remove parenthesis around (5n)
5n(3n + 5) = 0

Reorder the terms:
5n(5 + 3n) = 0
(5 * 5n + 3n * 5n) = 0
(25n + 15n2) = 0

Solving
25n + 15n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5n'.
5n(5 + 3n) = 0

Ignore the factor 5.

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 '(5 + 3n)' equal to zero and attempt to solve:

Simplifying
5 + 3n = 0

Solving
5 + 3n = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3n = 0 + -5
3n = 0 + -5

Combine like terms: 0 + -5 = -5
3n = -5

Divide each side by '3'.
n = -1.666666667

Simplifying
n = -1.666666667
Solution
n = {0, -1.666666667}

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