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Simplifying
10n2 + 10 = 470
Reorder the terms:
10 + 10n2 = 470
Solving
10 + 10n2 = 470
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 10n2 = 470 + -10
Combine like terms: 10 + -10 = 0
0 + 10n2 = 470 + -10
10n2 = 470 + -10
Combine like terms: 470 + -10 = 460
10n2 = 460
Divide each side by '10'.
n2 = 46
Simplifying
n2 = 46
Take the square root of each side:
n = {-6.782329983, 6.782329983}
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