5n^2+2=487

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Solution for 5n^2+2=487 equation:


Simplifying
5n2 + 2 = 487

Reorder the terms:
2 + 5n2 = 487

Solving
2 + 5n2 = 487

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 5n2 = 487 + -2

Combine like terms: 2 + -2 = 0
0 + 5n2 = 487 + -2
5n2 = 487 + -2

Combine like terms: 487 + -2 = 485
5n2 = 485

Divide each side by '5'.
n2 = 97

Simplifying
n2 = 97

Take the square root of each side:
n = {-9.848857802, 9.848857802}

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