(Y^2-6)=0

Solution for (Y^2-6)=0 equation:

Simplifying
(Y2 + -6) = 0

Reorder the terms:
(-6 + Y2) = 0

Remove parenthesis around (-6 + Y2)
-6 + Y2 = 0

Solving
-6 + Y2 = 0

Solving for variable 'Y'.

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

Add '6' to each side of the equation.
-6 + 6 + Y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + Y2 = 0 + 6
Y2 = 0 + 6

Combine like terms: 0 + 6 = 6
Y2 = 6

Simplifying
Y2 = 6

Take the square root of each side:
Y = {-2.449489743, 2.449489743}