10n^2=n^2+16

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Solution for 10n^2=n^2+16 equation: 


Simplifying
10n2 = n2 + 16

Reorder the terms:
10n2 = 16 + n2

Solving
10n2 = 16 + 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.
10n2 + -1n2 = 16 + n2 + -1n2

Combine like terms: 10n2 + -1n2 = 9n2
9n2 = 16 + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
9n2 = 16 + 0
9n2 = 16

Divide each side by '9'.
n2 = 1.777777778

Simplifying
n2 = 1.777777778

Take the square root of each side:
n = {-1.333333333, 1.333333333}

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