N(n-3)(n+2)-4(n+6)=n-6

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Solution for N(n-3)(n+2)-4(n+6)=n-6 equation: 


Simplifying
N(n + -3)(n + 2) + -4(n + 6) = n + -6

Reorder the terms:
N(-3 + n)(n + 2) + -4(n + 6) = n + -6

Reorder the terms:
N(-3 + n)(2 + n) + -4(n + 6) = n + -6

Multiply (-3 + n) * (2 + n)
N(-3(2 + n) + n(2 + n)) + -4(n + 6) = n + -6
N((2 * -3 + n * -3) + n(2 + n)) + -4(n + 6) = n + -6
N((-6 + -3n) + n(2 + n)) + -4(n + 6) = n + -6
N(-6 + -3n + (2 * n + n * n)) + -4(n + 6) = n + -6
N(-6 + -3n + (2n + n2)) + -4(n + 6) = n + -6

Combine like terms: -3n + 2n = -1n
N(-6 + -1n + n2) + -4(n + 6) = n + -6
(-6 * N + -1n * N + n2 * N) + -4(n + 6) = n + -6
(-6N + -1nN + n2N) + -4(n + 6) = n + -6

Reorder the terms:
-6N + -1nN + n2N + -4(6 + n) = n + -6
-6N + -1nN + n2N + (6 * -4 + n * -4) = n + -6
-6N + -1nN + n2N + (-24 + -4n) = n + -6

Reorder the terms:
-24 + -6N + -4n + -1nN + n2N = n + -6

Reorder the terms:
-24 + -6N + -4n + -1nN + n2N = -6 + n

Solving
-24 + -6N + -4n + -1nN + n2N = -6 + n

Solving for variable 'N'.

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

Add '24' to each side of the equation.
-24 + -6N + -4n + -1nN + 24 + n2N = -6 + 24 + n

Reorder the terms:
-24 + 24 + -6N + -4n + -1nN + n2N = -6 + 24 + n

Combine like terms: -24 + 24 = 0
0 + -6N + -4n + -1nN + n2N = -6 + 24 + n
-6N + -4n + -1nN + n2N = -6 + 24 + n

Combine like terms: -6 + 24 = 18
-6N + -4n + -1nN + n2N = 18 + n

Add '4n' to each side of the equation.
-6N + -4n + -1nN + 4n + n2N = 18 + n + 4n

Reorder the terms:
-6N + -4n + 4n + -1nN + n2N = 18 + n + 4n

Combine like terms: -4n + 4n = 0
-6N + 0 + -1nN + n2N = 18 + n + 4n
-6N + -1nN + n2N = 18 + n + 4n

Combine like terms: n + 4n = 5n
-6N + -1nN + n2N = 18 + 5n

Reorder the terms:
-18 + -6N + -5n + -1nN + n2N = 18 + 5n + -18 + -5n

Reorder the terms:
-18 + -6N + -5n + -1nN + n2N = 18 + -18 + 5n + -5n

Combine like terms: 18 + -18 = 0
-18 + -6N + -5n + -1nN + n2N = 0 + 5n + -5n
-18 + -6N + -5n + -1nN + n2N = 5n + -5n

Combine like terms: 5n + -5n = 0
-18 + -6N + -5n + -1nN + n2N = 0

The solution to this equation could not be determined.

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