6n^2-18-24=0

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Solution for 6n^2-18-24=0 equation:


Simplifying
6n2 + -18 + -24 = 0

Reorder the terms:
-18 + -24 + 6n2 = 0

Combine like terms: -18 + -24 = -42
-42 + 6n2 = 0

Solving
-42 + 6n2 = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '42' to each side of the equation.
-42 + 42 + 6n2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 6n2 = 0 + 42
6n2 = 0 + 42

Combine like terms: 0 + 42 = 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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