N^2+6n+21=9-n^2

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Solution for N^2+6n+21=9-n^2 equation:


Simplifying
N2 + 6n + 21 = 9 + -1n2

Reorder the terms:
21 + N2 + 6n = 9 + -1n2

Solving
21 + N2 + 6n = 9 + -1n2

Solving for variable 'N'.

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

Add '-21' to each side of the equation.
21 + N2 + -21 + 6n = 9 + -21 + -1n2

Reorder the terms:
21 + -21 + N2 + 6n = 9 + -21 + -1n2

Combine like terms: 21 + -21 = 0
0 + N2 + 6n = 9 + -21 + -1n2
N2 + 6n = 9 + -21 + -1n2

Combine like terms: 9 + -21 = -12
N2 + 6n = -12 + -1n2

Add '-6n' to each side of the equation.
N2 + 6n + -6n = -12 + -6n + -1n2

Combine like terms: 6n + -6n = 0
N2 + 0 = -12 + -6n + -1n2
N2 = -12 + -6n + -1n2

Simplifying
N2 = -12 + -6n + -1n2

Reorder the terms:
12 + N2 + 6n + n2 = -12 + -6n + -1n2 + 12 + 6n + n2

Reorder the terms:
12 + N2 + 6n + n2 = -12 + 12 + -6n + 6n + -1n2 + n2

Combine like terms: -12 + 12 = 0
12 + N2 + 6n + n2 = 0 + -6n + 6n + -1n2 + n2
12 + N2 + 6n + n2 = -6n + 6n + -1n2 + n2

Combine like terms: -6n + 6n = 0
12 + N2 + 6n + n2 = 0 + -1n2 + n2
12 + N2 + 6n + n2 = -1n2 + n2

Combine like terms: -1n2 + n2 = 0
12 + N2 + 6n + n2 = 0

The solution to this equation could not be determined.

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