2x^2+6=37

Solution for 2x^2+6=37 equation:

Simplifying
2x2 + 6 = 37

Reorder the terms:
6 + 2x2 = 37

Solving
6 + 2x2 = 37

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 = 37 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 37 + -6
2x2 = 37 + -6

Combine like terms: 37 + -6 = 31
2x2 = 31

Divide each side by '2'.
x2 = 15.5

Simplifying
x2 = 15.5

Take the square root of each side:
x = {-3.937003937, 3.937003937}