3n^2-5=40

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Solution for 3n^2-5=40 equation:


Simplifying
3n2 + -5 = 40

Reorder the terms:
-5 + 3n2 = 40

Solving
-5 + 3n2 = 40

Solving for variable 'n'.

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

Add '5' to each side of the equation.
-5 + 5 + 3n2 = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 3n2 = 40 + 5
3n2 = 40 + 5

Combine like terms: 40 + 5 = 45
3n2 = 45

Divide each side by '3'.
n2 = 15

Simplifying
n2 = 15

Take the square root of each side:
n = {-3.872983346, 3.872983346}

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