(X-1)(X+1)-10=0

Solution for (X-1)(X+1)-10=0 equation:

Simplifying
(X + -1)(X + 1) + -10 = 0

Reorder the terms:
(-1 + X)(X + 1) + -10 = 0

Reorder the terms:
(-1 + X)(1 + X) + -10 = 0

Multiply (-1 + X) * (1 + X)
(-1(1 + X) + X(1 + X)) + -10 = 0
((1 * -1 + X * -1) + X(1 + X)) + -10 = 0
((-1 + -1X) + X(1 + X)) + -10 = 0
(-1 + -1X + (1 * X + X * X)) + -10 = 0
(-1 + -1X + (1X + X2)) + -10 = 0

Combine like terms: -1X + 1X = 0
(-1 + 0 + X2) + -10 = 0
(-1 + X2) + -10 = 0

Reorder the terms:
-1 + -10 + X2 = 0

Combine like terms: -1 + -10 = -11
-11 + X2 = 0

Solving
-11 + X2 = 0

Solving for variable 'X'.

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

Add '11' to each side of the equation.
-11 + 11 + X2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + X2 = 0 + 11
X2 = 0 + 11

Combine like terms: 0 + 11 = 11
X2 = 11

Simplifying
X2 = 11

Take the square root of each side:
X = {-3.31662479, 3.31662479}