2x^2-1=y

Solution for 2x^2-1=y equation:

Simplifying
2x2 + -1 = y

Reorder the terms:
-1 + 2x2 = y

Solving
-1 + 2x2 = y

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 = 1 + y

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

Divide each side by '2'.
x2 = 0.5 + 0.5y

Simplifying
x2 = 0.5 + 0.5y

Reorder the terms:
-0.5 + x2 + -0.5y = 0.5 + 0.5y + -0.5 + -0.5y

Reorder the terms:
-0.5 + x2 + -0.5y = 0.5 + -0.5 + 0.5y + -0.5y

Combine like terms: 0.5 + -0.5 = 0.0
-0.5 + x2 + -0.5y = 0.0 + 0.5y + -0.5y
-0.5 + x2 + -0.5y = 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
-0.5 + x2 + -0.5y = 0.0

The solution to this equation could not be determined.