2x^2+1=41

Solution for 2x^2+1=41 equation:

Simplifying
2x2 + 1 = 41

Reorder the terms:
1 + 2x2 = 41

Solving
1 + 2x2 = 41

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 = 41 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 41 + -1
2x2 = 41 + -1

Combine like terms: 41 + -1 = 40
2x2 = 40

Divide each side by '2'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}