2y^2-6+1=0

Solution for 2y^2-6+1=0 equation:

Simplifying
2y2 + -6 + 1 = 0

Reorder the terms:
-6 + 1 + 2y2 = 0

Combine like terms: -6 + 1 = -5
-5 + 2y2 = 0

Solving
-5 + 2y2 = 0

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 2y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2y2 = 0 + 5
2y2 = 0 + 5

Combine like terms: 0 + 5 = 5
2y2 = 5

Divide each side by '2'.
y2 = 2.5

Simplifying
y2 = 2.5

Take the square root of each side:
y = {-1.58113883, 1.58113883}