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Simplifying
32n2 + -162 = 0
Reorder the terms:
-162 + 32n2 = 0
Solving
-162 + 32n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '162' to each side of the equation.
-162 + 162 + 32n2 = 0 + 162
Combine like terms: -162 + 162 = 0
0 + 32n2 = 0 + 162
32n2 = 0 + 162
Combine like terms: 0 + 162 = 162
32n2 = 162
Divide each side by '32'.
n2 = 5.0625
Simplifying
n2 = 5.0625
Take the square root of each side:
n = {-2.25, 2.25}
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