(X+1)(X-1)=49.5

Solution for (X+1)(X-1)=49.5 equation:

Simplifying
(X + 1)(X + -1) = 49.5

Reorder the terms:
(1 + X)(X + -1) = 49.5

Reorder the terms:
(1 + X)(-1 + X) = 49.5

Multiply (1 + X) * (-1 + X)
(1(-1 + X) + X(-1 + X)) = 49.5
((-1 * 1 + X * 1) + X(-1 + X)) = 49.5
((-1 + 1X) + X(-1 + X)) = 49.5
(-1 + 1X + (-1 * X + X * X)) = 49.5
(-1 + 1X + (-1X + X2)) = 49.5

Combine like terms: 1X + -1X = 0
(-1 + 0 + X2) = 49.5
(-1 + X2) = 49.5

Solving
-1 + X2 = 49.5

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 + X2 = 49.5 + 1

Combine like terms: -1 + 1 = 0
0 + X2 = 49.5 + 1
X2 = 49.5 + 1

Combine like terms: 49.5 + 1 = 50.5
X2 = 50.5

Simplifying
X2 = 50.5

Take the square root of each side:
X = {-7.106335202, 7.106335202}