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Simplifying
9n2 + -10 = 512
Reorder the terms:
-10 + 9n2 = 512
Solving
-10 + 9n2 = 512
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 + 9n2 = 512 + 10
Combine like terms: -10 + 10 = 0
0 + 9n2 = 512 + 10
9n2 = 512 + 10
Combine like terms: 512 + 10 = 522
9n2 = 522
Divide each side by '9'.
n2 = 58
Simplifying
n2 = 58
Take the square root of each side:
n = {-7.615773106, 7.615773106}
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