-3n(9n-8)=0

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Solution for -3n(9n-8)=0 equation: 


Simplifying
-3n(9n + -8) = 0

Reorder the terms:
-3n(-8 + 9n) = 0
(-8 * -3n + 9n * -3n) = 0
(24n + -27n2) = 0

Solving
24n + -27n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(8 + -9n) = 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 '(8 + -9n)' equal to zero and attempt to solve:

Simplifying
8 + -9n = 0

Solving
8 + -9n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -9n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9n = 0 + -8
-9n = 0 + -8

Combine like terms: 0 + -8 = -8
-9n = -8

Divide each side by '-9'.
n = 0.8888888889

Simplifying
n = 0.8888888889
Solution
n = {0, 0.8888888889}

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