N^2-2n-3=2n(n-3)

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


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

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

Reorder the terms:
-3 + N2 + -2n = 2n(-3 + n)
-3 + N2 + -2n = (-3 * 2n + n * 2n)
-3 + N2 + -2n = (-6n + 2n2)

Solving
-3 + N2 + -2n = -6n + 2n2

Solving for variable 'N'.

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

Add '3' to each side of the equation.
-3 + N2 + 3 + -2n = -6n + 3 + 2n2

Reorder the terms:
-3 + 3 + N2 + -2n = -6n + 3 + 2n2

Combine like terms: -3 + 3 = 0
0 + N2 + -2n = -6n + 3 + 2n2
N2 + -2n = -6n + 3 + 2n2

Reorder the terms:
N2 + -2n = 3 + -6n + 2n2

Add '2n' to each side of the equation.
N2 + -2n + 2n = 3 + -6n + 2n + 2n2

Combine like terms: -2n + 2n = 0
N2 + 0 = 3 + -6n + 2n + 2n2
N2 = 3 + -6n + 2n + 2n2

Combine like terms: -6n + 2n = -4n
N2 = 3 + -4n + 2n2

Simplifying
N2 = 3 + -4n + 2n2

Reorder the terms:
-3 + N2 + 4n + -2n2 = 3 + -4n + 2n2 + -3 + 4n + -2n2

Reorder the terms:
-3 + N2 + 4n + -2n2 = 3 + -3 + -4n + 4n + 2n2 + -2n2

Combine like terms: 3 + -3 = 0
-3 + N2 + 4n + -2n2 = 0 + -4n + 4n + 2n2 + -2n2
-3 + N2 + 4n + -2n2 = -4n + 4n + 2n2 + -2n2

Combine like terms: -4n + 4n = 0
-3 + N2 + 4n + -2n2 = 0 + 2n2 + -2n2
-3 + N2 + 4n + -2n2 = 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
-3 + N2 + 4n + -2n2 = 0

The solution to this equation could not be determined.

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