9n^2+2=83

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Solution for 9n^2+2=83 equation: 


Simplifying
9n2 + 2 = 83

Reorder the terms:
2 + 9n2 = 83

Solving
2 + 9n2 = 83

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 9n2 = 83 + -2

Combine like terms: 2 + -2 = 0
0 + 9n2 = 83 + -2
9n2 = 83 + -2

Combine like terms: 83 + -2 = 81
9n2 = 81

Divide each side by '9'.
n2 = 9

Simplifying
n2 = 9

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

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