y^2-2y^2+1=0

Solution for y^2-2y^2+1=0 equation:

Simplifying
y2 + -2y2 + 1 = 0

Reorder the terms:
1 + y2 + -2y2 = 0

Combine like terms: y2 + -2y2 = -1y2
1 + -1y2 = 0

Solving
1 + -1y2 = 0

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + -1y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1y2 = 0 + -1
-1y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1y2 = -1

Divide each side by '-1'.
y2 = 1

Simplifying
y2 = 1

Take the square root of each side:
y = {-1, 1}