2x^2-5+1=0

Solution for 2x^2-5+1=0 equation:

Simplifying
2x2 + -5 + 1 = 0

Reorder the terms:
-5 + 1 + 2x2 = 0

Combine like terms: -5 + 1 = -4
-4 + 2x2 = 0

Solving
-4 + 2x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + 2x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2x2 = 0 + 4
2x2 = 0 + 4

Combine like terms: 0 + 4 = 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}