N^2+19n+100=10

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Solution for N^2+19n+100=10 equation:


Simplifying
N2 + 19n + 100 = 10

Reorder the terms:
100 + N2 + 19n = 10

Solving
100 + N2 + 19n = 10

Solving for variable 'N'.

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

Add '-100' to each side of the equation.
100 + N2 + -100 + 19n = 10 + -100

Reorder the terms:
100 + -100 + N2 + 19n = 10 + -100

Combine like terms: 100 + -100 = 0
0 + N2 + 19n = 10 + -100
N2 + 19n = 10 + -100

Combine like terms: 10 + -100 = -90
N2 + 19n = -90

Add '-19n' to each side of the equation.
N2 + 19n + -19n = -90 + -19n

Combine like terms: 19n + -19n = 0
N2 + 0 = -90 + -19n
N2 = -90 + -19n

Simplifying
N2 = -90 + -19n

Reorder the terms:
90 + N2 + 19n = -90 + -19n + 90 + 19n

Reorder the terms:
90 + N2 + 19n = -90 + 90 + -19n + 19n

Combine like terms: -90 + 90 = 0
90 + N2 + 19n = 0 + -19n + 19n
90 + N2 + 19n = -19n + 19n

Combine like terms: -19n + 19n = 0
90 + N2 + 19n = 0

The solution to this equation could not be determined.

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