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Simplifying
2n2 + -5 = 41
Reorder the terms:
-5 + 2n2 = 41
Solving
-5 + 2n2 = 41
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 + 2n2 = 41 + 5
Combine like terms: -5 + 5 = 0
0 + 2n2 = 41 + 5
2n2 = 41 + 5
Combine like terms: 41 + 5 = 46
2n2 = 46
Divide each side by '2'.
n2 = 23
Simplifying
n2 = 23
Take the square root of each side:
n = {-4.795831523, 4.795831523}
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