7n-3n(11+n)=

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Solution for 7n-3n(11+n)= equation: 


Simplifying
7n + -3n(11 + n) = 0
7n + (11 * -3n + n * -3n) = 0
7n + (-33n + -3n2) = 0

Combine like terms: 7n + -33n = -26n
-26n + -3n2 = 0

Solving
-26n + -3n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-1n'.
-1n(26 + 3n) = 0

Ignore the factor -1.

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 '(26 + 3n)' equal to zero and attempt to solve:

Simplifying
26 + 3n = 0

Solving
26 + 3n = 0

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

Add '-26' to each side of the equation.
26 + -26 + 3n = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 3n = 0 + -26
3n = 0 + -26

Combine like terms: 0 + -26 = -26
3n = -26

Divide each side by '3'.
n = -8.666666667

Simplifying
n = -8.666666667
Solution
n = {0, -8.666666667}

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