5n^2-9=171

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Solution for 5n^2-9=171 equation: 


Simplifying
5n2 + -9 = 171

Reorder the terms:
-9 + 5n2 = 171

Solving
-9 + 5n2 = 171

Solving for variable 'n'.

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

Add '9' to each side of the equation.
-9 + 9 + 5n2 = 171 + 9

Combine like terms: -9 + 9 = 0
0 + 5n2 = 171 + 9
5n2 = 171 + 9

Combine like terms: 171 + 9 = 180
5n2 = 180

Divide each side by '5'.
n2 = 36

Simplifying
n2 = 36

Take the square root of each side:
n = {-6, 6}

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