2x^2+1=25

Solution for 2x^2+1=25 equation:

Simplifying
2x2 + 1 = 25

Reorder the terms:
1 + 2x2 = 25

Solving
1 + 2x2 = 25

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 = 25 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 25 + -1
2x2 = 25 + -1

Combine like terms: 25 + -1 = 24
2x2 = 24

Divide each side by '2'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}