(12-4n)(3n-5)(-n+2)=0

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Solution for (12-4n)(3n-5)(-n+2)=0 equation: 


Simplifying
(12 + -4n)(3n + -5)(-1n + 2) = 0

Reorder the terms:
(12 + -4n)(-5 + 3n)(-1n + 2) = 0

Reorder the terms:
(12 + -4n)(-5 + 3n)(2 + -1n) = 0

Multiply (12 + -4n) * (-5 + 3n)
(12(-5 + 3n) + -4n * (-5 + 3n))(2 + -1n) = 0
((-5 * 12 + 3n * 12) + -4n * (-5 + 3n))(2 + -1n) = 0
((-60 + 36n) + -4n * (-5 + 3n))(2 + -1n) = 0
(-60 + 36n + (-5 * -4n + 3n * -4n))(2 + -1n) = 0
(-60 + 36n + (20n + -12n2))(2 + -1n) = 0

Combine like terms: 36n + 20n = 56n
(-60 + 56n + -12n2)(2 + -1n) = 0

Multiply (-60 + 56n + -12n2) * (2 + -1n)
(-60(2 + -1n) + 56n * (2 + -1n) + -12n2 * (2 + -1n)) = 0
((2 * -60 + -1n * -60) + 56n * (2 + -1n) + -12n2 * (2 + -1n)) = 0
((-120 + 60n) + 56n * (2 + -1n) + -12n2 * (2 + -1n)) = 0
(-120 + 60n + (2 * 56n + -1n * 56n) + -12n2 * (2 + -1n)) = 0
(-120 + 60n + (112n + -56n2) + -12n2 * (2 + -1n)) = 0
(-120 + 60n + 112n + -56n2 + (2 * -12n2 + -1n * -12n2)) = 0
(-120 + 60n + 112n + -56n2 + (-24n2 + 12n3)) = 0

Combine like terms: 60n + 112n = 172n
(-120 + 172n + -56n2 + -24n2 + 12n3) = 0

Combine like terms: -56n2 + -24n2 = -80n2
(-120 + 172n + -80n2 + 12n3) = 0

Solving
-120 + 172n + -80n2 + 12n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-30 + 43n + -20n2 + 3n3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-30 + 43n + -20n2 + 3n3)' equal to zero and attempt to solve:

Simplifying
-30 + 43n + -20n2 + 3n3 = 0

Solving
-30 + 43n + -20n2 + 3n3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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