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Simplifying
3n2 + -72 = 0
Reorder the terms:
-72 + 3n2 = 0
Solving
-72 + 3n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '72' to each side of the equation.
-72 + 72 + 3n2 = 0 + 72
Combine like terms: -72 + 72 = 0
0 + 3n2 = 0 + 72
3n2 = 0 + 72
Combine like terms: 0 + 72 = 72
3n2 = 72
Divide each side by '3'.
n2 = 24
Simplifying
n2 = 24
Take the square root of each side:
n = {-4.898979486, 4.898979486}
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