n(n+5)=n^2+10

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Solution for n(n+5)=n^2+10 equation: 


Simplifying
n(n + 5) = n2 + 10

Reorder the terms:
n(5 + n) = n2 + 10
(5 * n + n * n) = n2 + 10
(5n + n2) = n2 + 10

Reorder the terms:
5n + n2 = 10 + n2

Add '-1n2' to each side of the equation.
5n + n2 + -1n2 = 10 + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
5n + 0 = 10 + n2 + -1n2
5n = 10 + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
5n = 10 + 0
5n = 10

Solving
5n = 10

Solving for variable 'n'.

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

Divide each side by '5'.
n = 2

Simplifying
n = 2

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