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Simplifying
10n2 + -8 = 772
Reorder the terms:
-8 + 10n2 = 772
Solving
-8 + 10n2 = 772
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 10n2 = 772 + 8
Combine like terms: -8 + 8 = 0
0 + 10n2 = 772 + 8
10n2 = 772 + 8
Combine like terms: 772 + 8 = 780
10n2 = 780
Divide each side by '10'.
n2 = 78
Simplifying
n2 = 78
Take the square root of each side:
n = {-8.831760866, 8.831760866}
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