2x^2+1=5

Solution for 2x^2+1=5 equation:

Simplifying
2x2 + 1 = 5

Reorder the terms:
1 + 2x2 = 5

Solving
1 + 2x2 = 5

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 = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 5 + -1
2x2 = 5 + -1

Combine like terms: 5 + -1 = 4
2x2 = 4

Divide each side by '2'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}