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Simplifying
2n2 + 6 + -108 = 0
Reorder the terms:
6 + -108 + 2n2 = 0
Combine like terms: 6 + -108 = -102
-102 + 2n2 = 0
Solving
-102 + 2n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '102' to each side of the equation.
-102 + 102 + 2n2 = 0 + 102
Combine like terms: -102 + 102 = 0
0 + 2n2 = 0 + 102
2n2 = 0 + 102
Combine like terms: 0 + 102 = 102
2n2 = 102
Divide each side by '2'.
n2 = 51
Simplifying
n2 = 51
Take the square root of each side:
n = {-7.141428429, 7.141428429}
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