N^2-6n+3=6n-32

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Solution for N^2-6n+3=6n-32 equation:


Simplifying
N2 + -6n + 3 = 6n + -32

Reorder the terms:
3 + N2 + -6n = 6n + -32

Reorder the terms:
3 + N2 + -6n = -32 + 6n

Solving
3 + N2 + -6n = -32 + 6n

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 + -6n = -32 + -3 + 6n

Reorder the terms:
3 + -3 + N2 + -6n = -32 + -3 + 6n

Combine like terms: 3 + -3 = 0
0 + N2 + -6n = -32 + -3 + 6n
N2 + -6n = -32 + -3 + 6n

Combine like terms: -32 + -3 = -35
N2 + -6n = -35 + 6n

Add '6n' to each side of the equation.
N2 + -6n + 6n = -35 + 6n + 6n

Combine like terms: -6n + 6n = 0
N2 + 0 = -35 + 6n + 6n
N2 = -35 + 6n + 6n

Combine like terms: 6n + 6n = 12n
N2 = -35 + 12n

Simplifying
N2 = -35 + 12n

Reorder the terms:
35 + N2 + -12n = -35 + 12n + 35 + -12n

Reorder the terms:
35 + N2 + -12n = -35 + 35 + 12n + -12n

Combine like terms: -35 + 35 = 0
35 + N2 + -12n = 0 + 12n + -12n
35 + N2 + -12n = 12n + -12n

Combine like terms: 12n + -12n = 0
35 + N2 + -12n = 0

The solution to this equation could not be determined.

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