(6n^2-17)=19

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Solution for (6n^2-17)=19 equation:


Simplifying
(6n2 + -17) = 19

Reorder the terms:
(-17 + 6n2) = 19

Remove parenthesis around (-17 + 6n2)
-17 + 6n2 = 19

Solving
-17 + 6n2 = 19

Solving for variable 'n'.

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

Add '17' to each side of the equation.
-17 + 17 + 6n2 = 19 + 17

Combine like terms: -17 + 17 = 0
0 + 6n2 = 19 + 17
6n2 = 19 + 17

Combine like terms: 19 + 17 = 36
6n2 = 36

Divide each side by '6'.
n2 = 6

Simplifying
n2 = 6

Take the square root of each side:
n = {-2.449489743, 2.449489743}

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