3n(4n-9)=0

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Solution for 3n(4n-9)=0 equation: 


Simplifying
3n(4n + -9) = 0

Reorder the terms:
3n(-9 + 4n) = 0
(-9 * 3n + 4n * 3n) = 0
(-27n + 12n2) = 0

Solving
-27n + 12n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(-9 + 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 '(-9 + 4n)' equal to zero and attempt to solve:

Simplifying
-9 + 4n = 0

Solving
-9 + 4n = 0

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

Add '9' to each side of the equation.
-9 + 9 + 4n = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4n = 0 + 9
4n = 0 + 9

Combine like terms: 0 + 9 = 9
4n = 9

Divide each side by '4'.
n = 2.25

Simplifying
n = 2.25
Solution
n = {0, 2.25}

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