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Simplifying
5n2 + -2 = 33
Reorder the terms:
-2 + 5n2 = 33
Solving
-2 + 5n2 = 33
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 5n2 = 33 + 2
Combine like terms: -2 + 2 = 0
0 + 5n2 = 33 + 2
5n2 = 33 + 2
Combine like terms: 33 + 2 = 35
5n2 = 35
Divide each side by '5'.
n2 = 7
Simplifying
n2 = 7
Take the square root of each side:
n = {-2.645751311, 2.645751311}
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