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Simplifying
6n2 + -30n2 + 24 = 0
Reorder the terms:
24 + 6n2 + -30n2 = 0
Combine like terms: 6n2 + -30n2 = -24n2
24 + -24n2 = 0
Solving
24 + -24n2 = 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 + -24n2 = 0 + -24
Combine like terms: 24 + -24 = 0
0 + -24n2 = 0 + -24
-24n2 = 0 + -24
Combine like terms: 0 + -24 = -24
-24n2 = -24
Divide each side by '-24'.
n2 = 1
Simplifying
n2 = 1
Take the square root of each side:
n = {-1, 1}
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