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Simplifying
10n2 + -4 = 506
Reorder the terms:
-4 + 10n2 = 506
Solving
-4 + 10n2 = 506
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 10n2 = 506 + 4
Combine like terms: -4 + 4 = 0
0 + 10n2 = 506 + 4
10n2 = 506 + 4
Combine like terms: 506 + 4 = 510
10n2 = 510
Divide each side by '10'.
n2 = 51
Simplifying
n2 = 51
Take the square root of each side:
n = {-7.141428429, 7.141428429}
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