(Y-1)(Y+1)=x

Solution for (Y-1)(Y+1)=x equation:

Simplifying
(Y + -1)(Y + 1) = x

Reorder the terms:
(-1 + Y)(Y + 1) = x

Reorder the terms:
(-1 + Y)(1 + Y) = x

Multiply (-1 + Y) * (1 + Y)
(-1(1 + Y) + Y(1 + Y)) = x
((1 * -1 + Y * -1) + Y(1 + Y)) = x
((-1 + -1Y) + Y(1 + Y)) = x
(-1 + -1Y + (1 * Y + Y * Y)) = x
(-1 + -1Y + (1Y + Y2)) = x

Combine like terms: -1Y + 1Y = 0
(-1 + 0 + Y2) = x
(-1 + Y2) = x

Solving
-1 + Y2 = x

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 + Y2 = 1 + x

Combine like terms: -1 + 1 = 0
0 + Y2 = 1 + x
Y2 = 1 + x

Simplifying
Y2 = 1 + x

Reorder the terms:
-1 + Y2 + -1x = 1 + x + -1 + -1x

Reorder the terms:
-1 + Y2 + -1x = 1 + -1 + x + -1x

Combine like terms: 1 + -1 = 0
-1 + Y2 + -1x = 0 + x + -1x
-1 + Y2 + -1x = x + -1x

Combine like terms: x + -1x = 0
-1 + Y2 + -1x = 0

The solution to this equation could not be determined.