12n(n+4)-3n=

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Solution for 12n(n+4)-3n= equation: 


Simplifying
12n(n + 4) + -3n = 0

Reorder the terms:
12n(4 + n) + -3n = 0
(4 * 12n + n * 12n) + -3n = 0
(48n + 12n2) + -3n = 0

Reorder the terms:
48n + -3n + 12n2 = 0

Combine like terms: 48n + -3n = 45n
45n + 12n2 = 0

Solving
45n + 12n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(15 + 4n) = 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 '(15 + 4n)' equal to zero and attempt to solve:

Simplifying
15 + 4n = 0

Solving
15 + 4n = 0

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

Add '-15' to each side of the equation.
15 + -15 + 4n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4n = 0 + -15
4n = 0 + -15

Combine like terms: 0 + -15 = -15
4n = -15

Divide each side by '4'.
n = -3.75

Simplifying
n = -3.75
Solution
n = {0, -3.75}

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