-3n(6n-6)+4n=

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Solution for -3n(6n-6)+4n= equation: 


Simplifying
-3n(6n + -6) + 4n = 0

Reorder the terms:
-3n(-6 + 6n) + 4n = 0
(-6 * -3n + 6n * -3n) + 4n = 0
(18n + -18n2) + 4n = 0

Reorder the terms:
18n + 4n + -18n2 = 0

Combine like terms: 18n + 4n = 22n
22n + -18n2 = 0

Solving
22n + -18n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(11 + -9n) = 0

Ignore the factor 2.

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 '(11 + -9n)' equal to zero and attempt to solve:

Simplifying
11 + -9n = 0

Solving
11 + -9n = 0

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

Add '-11' to each side of the equation.
11 + -11 + -9n = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -9n = 0 + -11
-9n = 0 + -11

Combine like terms: 0 + -11 = -11
-9n = -11

Divide each side by '-9'.
n = 1.222222222

Simplifying
n = 1.222222222
Solution
n = {0, 1.222222222}

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