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Simplifying
3n2 + -5 = 49
Reorder the terms:
-5 + 3n2 = 49
Solving
-5 + 3n2 = 49
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 3n2 = 49 + 5
Combine like terms: -5 + 5 = 0
0 + 3n2 = 49 + 5
3n2 = 49 + 5
Combine like terms: 49 + 5 = 54
3n2 = 54
Divide each side by '3'.
n2 = 18
Simplifying
n2 = 18
Take the square root of each side:
n = {-4.242640687, 4.242640687}
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