2x^2+1=841

Solution for 2x^2+1=841 equation:

Simplifying
2x2 + 1 = 841

Reorder the terms:
1 + 2x2 = 841

Solving
1 + 2x2 = 841

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 = 841 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 841 + -1
2x2 = 841 + -1

Combine like terms: 841 + -1 = 840
2x2 = 840

Divide each side by '2'.
x2 = 420

Simplifying
x2 = 420

Take the square root of each side:
x = {-20.493901532, 20.493901532}