(3n)(4n)=24n

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Solution for (3n)(4n)=24n equation: 


Simplifying
(3n)(4n) = 24n

Remove parenthesis around (3n)
3n(4n) = 24n

Remove parenthesis around (4n)
3n * 4n = 24n

Reorder the terms for easier multiplication:
3 * 4n * n = 24n

Multiply 3 * 4
12n * n = 24n

Multiply n * n
12n2 = 24n

Solving
12n2 = 24n

Solving for variable 'n'.

Reorder the terms:
-24n + 12n2 = 24n + -24n

Combine like terms: 24n + -24n = 0
-24n + 12n2 = 0

Factor out the Greatest Common Factor (GCF), '12n'.
12n(-2 + n) = 0

Ignore the factor 12.

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

Simplifying
-2 + n = 0

Solving
-2 + n = 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 + n = 0 + 2

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

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

Simplifying
n = 2
Solution
n = {0, 2}

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