6n-3n*2n+n=

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Solution for 6n-3n*2n+n= equation: 


Simplifying
6n + -3n * 2n + n = 0

Reorder the terms for easier multiplication:
6n + -3 * 2n * n + n = 0

Multiply -3 * 2
6n + -6n * n + n = 0

Multiply n * n
6n + -6n2 + n = 0

Reorder the terms:
6n + n + -6n2 = 0

Combine like terms: 6n + n = 7n
7n + -6n2 = 0

Solving
7n + -6n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(7 + -6n) = 0


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 '(7 + -6n)' equal to zero and attempt to solve:

Simplifying
7 + -6n = 0

Solving
7 + -6n = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6n = 0 + -7
-6n = 0 + -7

Combine like terms: 0 + -7 = -7
-6n = -7

Divide each side by '-6'.
n = 1.166666667

Simplifying
n = 1.166666667
Solution
n = {0, 1.166666667}

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