3n^2-8=19

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Solution for 3n^2-8=19 equation: 


Simplifying
3n2 + -8 = 19

Reorder the terms:
-8 + 3n2 = 19

Solving
-8 + 3n2 = 19

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 + 3n2 = 19 + 8

Combine like terms: -8 + 8 = 0
0 + 3n2 = 19 + 8
3n2 = 19 + 8

Combine like terms: 19 + 8 = 27
3n2 = 27

Divide each side by '3'.
n2 = 9

Simplifying
n2 = 9

Take the square root of each side:
n = {-3, 3}

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