2x^2+1=37

Solution for 2x^2+1=37 equation:

Simplifying
2x2 + 1 = 37

Reorder the terms:
1 + 2x2 = 37

Solving
1 + 2x2 = 37

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 2x2 = 37 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 37 + -1
2x2 = 37 + -1

Combine like terms: 37 + -1 = 36
2x2 = 36

Divide each side by '2'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}