2N^2-5n-36=N^2

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Solution for 2N^2-5n-36=N^2 equation:


Simplifying
2N2 + -5n + -36 = N2

Reorder the terms:
-36 + 2N2 + -5n = N2

Solving
-36 + 2N2 + -5n = N2

Solving for variable 'N'.

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

Add '-1N2' to each side of the equation.
-36 + 2N2 + -1N2 + -5n = N2 + -1N2

Combine like terms: 2N2 + -1N2 = 1N2
-36 + 1N2 + -5n = N2 + -1N2

Combine like terms: N2 + -1N2 = 0
-36 + 1N2 + -5n = 0

Add '36' to each side of the equation.
-36 + 1N2 + 36 + -5n = 0 + 36

Reorder the terms:
-36 + 36 + 1N2 + -5n = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 1N2 + -5n = 0 + 36
1N2 + -5n = 0 + 36

Combine like terms: 0 + 36 = 36
1N2 + -5n = 36

Add '5n' to each side of the equation.
1N2 + -5n + 5n = 36 + 5n

Combine like terms: -5n + 5n = 0
1N2 + 0 = 36 + 5n
1N2 = 36 + 5n

Divide each side by '1'.
N2 = 36 + 5n

Simplifying
N2 = 36 + 5n

Reorder the terms:
-36 + N2 + -5n = 36 + 5n + -36 + -5n

Reorder the terms:
-36 + N2 + -5n = 36 + -36 + 5n + -5n

Combine like terms: 36 + -36 = 0
-36 + N2 + -5n = 0 + 5n + -5n
-36 + N2 + -5n = 5n + -5n

Combine like terms: 5n + -5n = 0
-36 + N2 + -5n = 0

The solution to this equation could not be determined.

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