(N^2-3n-4)(n+2)=0

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Solution for (N^2-3n-4)(n+2)=0 equation: 


Simplifying
(N2 + -3n + -4)(n + 2) = 0

Reorder the terms:
(-4 + N2 + -3n)(n + 2) = 0

Reorder the terms:
(-4 + N2 + -3n)(2 + n) = 0

Multiply (-4 + N2 + -3n) * (2 + n)
(-4(2 + n) + N2(2 + n) + -3n * (2 + n)) = 0
((2 * -4 + n * -4) + N2(2 + n) + -3n * (2 + n)) = 0
((-8 + -4n) + N2(2 + n) + -3n * (2 + n)) = 0
(-8 + -4n + (2 * N2 + n * N2) + -3n * (2 + n)) = 0
(-8 + -4n + (2N2 + nN2) + -3n * (2 + n)) = 0
(-8 + -4n + 2N2 + nN2 + (2 * -3n + n * -3n)) = 0
(-8 + -4n + 2N2 + nN2 + (-6n + -3n2)) = 0

Reorder the terms:
(-8 + 2N2 + -4n + -6n + nN2 + -3n2) = 0

Combine like terms: -4n + -6n = -10n
(-8 + 2N2 + -10n + nN2 + -3n2) = 0

Solving
-8 + 2N2 + -10n + nN2 + -3n2 = 0

Solving for variable 'N'.

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

Add '8' to each side of the equation.
-8 + 2N2 + -10n + nN2 + 8 + -3n2 = 0 + 8

Reorder the terms:
-8 + 8 + 2N2 + -10n + nN2 + -3n2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2N2 + -10n + nN2 + -3n2 = 0 + 8
2N2 + -10n + nN2 + -3n2 = 0 + 8

Combine like terms: 0 + 8 = 8
2N2 + -10n + nN2 + -3n2 = 8

Add '10n' to each side of the equation.
2N2 + -10n + nN2 + 10n + -3n2 = 8 + 10n

Reorder the terms:
2N2 + -10n + 10n + nN2 + -3n2 = 8 + 10n

Combine like terms: -10n + 10n = 0
2N2 + 0 + nN2 + -3n2 = 8 + 10n
2N2 + nN2 + -3n2 = 8 + 10n

Add '3n2' to each side of the equation.
2N2 + nN2 + -3n2 + 3n2 = 8 + 10n + 3n2

Combine like terms: -3n2 + 3n2 = 0
2N2 + nN2 + 0 = 8 + 10n + 3n2
2N2 + nN2 = 8 + 10n + 3n2

Reorder the terms:
-8 + 2N2 + -10n + nN2 + -3n2 = 8 + 10n + 3n2 + -8 + -10n + -3n2

Reorder the terms:
-8 + 2N2 + -10n + nN2 + -3n2 = 8 + -8 + 10n + -10n + 3n2 + -3n2

Combine like terms: 8 + -8 = 0
-8 + 2N2 + -10n + nN2 + -3n2 = 0 + 10n + -10n + 3n2 + -3n2
-8 + 2N2 + -10n + nN2 + -3n2 = 10n + -10n + 3n2 + -3n2

Combine like terms: 10n + -10n = 0
-8 + 2N2 + -10n + nN2 + -3n2 = 0 + 3n2 + -3n2
-8 + 2N2 + -10n + nN2 + -3n2 = 3n2 + -3n2

Combine like terms: 3n2 + -3n2 = 0
-8 + 2N2 + -10n + nN2 + -3n2 = 0

The solution to this equation could not be determined.

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