2n^2-1=49

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Solution for 2n^2-1=49 equation: 


Simplifying
2n2 + -1 = 49

Reorder the terms:
-1 + 2n2 = 49

Solving
-1 + 2n2 = 49

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + 2n2 = 49 + 1

Combine like terms: -1 + 1 = 0
0 + 2n2 = 49 + 1
2n2 = 49 + 1

Combine like terms: 49 + 1 = 50
2n2 = 50

Divide each side by '2'.
n2 = 25

Simplifying
n2 = 25

Take the square root of each side:
n = {-5, 5}

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