n^2-25+10n=n^2+25

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Solution for n^2-25+10n=n^2+25 equation:


Simplifying
n2 + -25 + 10n = n2 + 25

Reorder the terms:
-25 + 10n + n2 = n2 + 25

Reorder the terms:
-25 + 10n + n2 = 25 + n2

Add '-1n2' to each side of the equation.
-25 + 10n + n2 + -1n2 = 25 + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
-25 + 10n + 0 = 25 + n2 + -1n2
-25 + 10n = 25 + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
-25 + 10n = 25 + 0
-25 + 10n = 25

Solving
-25 + 10n = 25

Solving for variable 'n'.

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

Add '25' to each side of the equation.
-25 + 25 + 10n = 25 + 25

Combine like terms: -25 + 25 = 0
0 + 10n = 25 + 25
10n = 25 + 25

Combine like terms: 25 + 25 = 50
10n = 50

Divide each side by '10'.
n = 5

Simplifying
n = 5

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