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Simplifying
6n2 + -18 + -18 = 6
Reorder the terms:
-18 + -18 + 6n2 = 6
Combine like terms: -18 + -18 = -36
-36 + 6n2 = 6
Solving
-36 + 6n2 = 6
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '36' to each side of the equation.
-36 + 36 + 6n2 = 6 + 36
Combine like terms: -36 + 36 = 0
0 + 6n2 = 6 + 36
6n2 = 6 + 36
Combine like terms: 6 + 36 = 42
6n2 = 42
Divide each side by '6'.
n2 = 7
Simplifying
n2 = 7
Take the square root of each side:
n = {-2.645751311, 2.645751311}
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