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Simplifying
6n2 + -18 + -6 = 0
Reorder the terms:
-18 + -6 + 6n2 = 0
Combine like terms: -18 + -6 = -24
-24 + 6n2 = 0
Solving
-24 + 6n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '24' to each side of the equation.
-24 + 24 + 6n2 = 0 + 24
Combine like terms: -24 + 24 = 0
0 + 6n2 = 0 + 24
6n2 = 0 + 24
Combine like terms: 0 + 24 = 24
6n2 = 24
Divide each side by '6'.
n2 = 4
Simplifying
n2 = 4
Take the square root of each side:
n = {-2, 2}
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