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Simplifying
5n2 + -40 = 0
Reorder the terms:
-40 + 5n2 = 0
Solving
-40 + 5n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '40' to each side of the equation.
-40 + 40 + 5n2 = 0 + 40
Combine like terms: -40 + 40 = 0
0 + 5n2 = 0 + 40
5n2 = 0 + 40
Combine like terms: 0 + 40 = 40
5n2 = 40
Divide each side by '5'.
n2 = 8
Simplifying
n2 = 8
Take the square root of each side:
n = {-2.828427125, 2.828427125}
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