2x^2+1=59

Solution for 2x^2+1=59 equation:

Simplifying
2x2 + 1 = 59

Reorder the terms:
1 + 2x2 = 59

Solving
1 + 2x2 = 59

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 = 59 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 59 + -1
2x2 = 59 + -1

Combine like terms: 59 + -1 = 58
2x2 = 58

Divide each side by '2'.
x2 = 29

Simplifying
x2 = 29

Take the square root of each side:
x = {-5.385164807, 5.385164807}