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Simplifying
8 + -6n2 = -42
Solving
8 + -6n2 = -42
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -6n2 = -42 + -8
Combine like terms: 8 + -8 = 0
0 + -6n2 = -42 + -8
-6n2 = -42 + -8
Combine like terms: -42 + -8 = -50
-6n2 = -50
Divide each side by '-6'.
n2 = 8.333333333
Simplifying
n2 = 8.333333333
Take the square root of each side:
n = {-2.886751346, 2.886751346}
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