5n^2-4=41

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Solution for 5n^2-4=41 equation: 


Simplifying
5n2 + -4 = 41

Reorder the terms:
-4 + 5n2 = 41

Solving
-4 + 5n2 = 41

Solving for variable 'n'.

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

Add '4' to each side of the equation.
-4 + 4 + 5n2 = 41 + 4

Combine like terms: -4 + 4 = 0
0 + 5n2 = 41 + 4
5n2 = 41 + 4

Combine like terms: 41 + 4 = 45
5n2 = 45

Divide each side by '5'.
n2 = 9

Simplifying
n2 = 9

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

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