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Simplifying
16n2 + -9 = 0
Reorder the terms:
-9 + 16n2 = 0
Solving
-9 + 16n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 16n2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 16n2 = 0 + 9
16n2 = 0 + 9
Combine like terms: 0 + 9 = 9
16n2 = 9
Divide each side by '16'.
n2 = 0.5625
Simplifying
n2 = 0.5625
Take the square root of each side:
n = {-0.75, 0.75}
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