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Simplifying
4n2 + -8 = 0
Reorder the terms:
-8 + 4n2 = 0
Solving
-8 + 4n2 = 0
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 + 4n2 = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 4n2 = 0 + 8
4n2 = 0 + 8
Combine like terms: 0 + 8 = 8
4n2 = 8
Divide each side by '4'.
n2 = 2
Simplifying
n2 = 2
Take the square root of each side:
n = {-1.414213562, 1.414213562}
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