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Simplifying
5n2 + -3 = 477
Reorder the terms:
-3 + 5n2 = 477
Solving
-3 + 5n2 = 477
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 5n2 = 477 + 3
Combine like terms: -3 + 3 = 0
0 + 5n2 = 477 + 3
5n2 = 477 + 3
Combine like terms: 477 + 3 = 480
5n2 = 480
Divide each side by '5'.
n2 = 96
Simplifying
n2 = 96
Take the square root of each side:
n = {-9.797958971, 9.797958971}
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