3n^2-7=41

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Solution for 3n^2-7=41 equation: 


Simplifying
3n2 + -7 = 41

Reorder the terms:
-7 + 3n2 = 41

Solving
-7 + 3n2 = 41

Solving for variable 'n'.

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

Add '7' to each side of the equation.
-7 + 7 + 3n2 = 41 + 7

Combine like terms: -7 + 7 = 0
0 + 3n2 = 41 + 7
3n2 = 41 + 7

Combine like terms: 41 + 7 = 48
3n2 = 48

Divide each side by '3'.
n2 = 16

Simplifying
n2 = 16

Take the square root of each side:
n = {-4, 4}

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