2x^2+6=38

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


Simplifying
2x2 + 6 = 38

Reorder the terms:
6 + 2x2 = 38

Solving
6 + 2x2 = 38

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x2 = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 38 + -6
2x2 = 38 + -6

Combine like terms: 38 + -6 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

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

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