5n^2-6=74

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Solution for 5n^2-6=74 equation: 


Simplifying
5n2 + -6 = 74

Reorder the terms:
-6 + 5n2 = 74

Solving
-6 + 5n2 = 74

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 5n2 = 74 + 6

Combine like terms: -6 + 6 = 0
0 + 5n2 = 74 + 6
5n2 = 74 + 6

Combine like terms: 74 + 6 = 80
5n2 = 80

Divide each side by '5'.
n2 = 16

Simplifying
n2 = 16

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

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