10n^2-5=535

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Solution for 10n^2-5=535 equation:


Simplifying
10n2 + -5 = 535

Reorder the terms:
-5 + 10n2 = 535

Solving
-5 + 10n2 = 535

Solving for variable 'n'.

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

Add '5' to each side of the equation.
-5 + 5 + 10n2 = 535 + 5

Combine like terms: -5 + 5 = 0
0 + 10n2 = 535 + 5
10n2 = 535 + 5

Combine like terms: 535 + 5 = 540
10n2 = 540

Divide each side by '10'.
n2 = 54

Simplifying
n2 = 54

Take the square root of each side:
n = {-7.348469228, 7.348469228}

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