2n^2+6=38

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Solution for 2n^2+6=38 equation:


Simplifying
2n2 + 6 = 38

Reorder the terms:
6 + 2n2 = 38

Solving
6 + 2n2 = 38

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 + 2n2 = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 2n2 = 38 + -6
2n2 = 38 + -6

Combine like terms: 38 + -6 = 32
2n2 = 32

Divide each side by '2'.
n2 = 16

Simplifying
n2 = 16

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

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