3n^2+19=382

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Solution for 3n^2+19=382 equation: 


Simplifying
3n2 + 19 = 382

Reorder the terms:
19 + 3n2 = 382

Solving
19 + 3n2 = 382

Solving for variable 'n'.

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

Add '-19' to each side of the equation.
19 + -19 + 3n2 = 382 + -19

Combine like terms: 19 + -19 = 0
0 + 3n2 = 382 + -19
3n2 = 382 + -19

Combine like terms: 382 + -19 = 363
3n2 = 363

Divide each side by '3'.
n2 = 121

Simplifying
n2 = 121

Take the square root of each side:
n = {-11, 11}

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