x(x+1)-1(x-1)=2

Solution for x(x+1)-1(x-1)=2 equation:

Simplifying
x(x + 1) + -1(x + -1) = 2

Reorder the terms:
x(1 + x) + -1(x + -1) = 2
(1 * x + x * x) + -1(x + -1) = 2
(1x + x2) + -1(x + -1) = 2

Reorder the terms:
1x + x2 + -1(-1 + x) = 2
1x + x2 + (-1 * -1 + x * -1) = 2
1x + x2 + (1 + -1x) = 2

Reorder the terms:
1 + 1x + -1x + x2 = 2

Combine like terms: 1x + -1x = 0
1 + 0 + x2 = 2
1 + x2 = 2

Solving
1 + x2 = 2

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 = 2 + -1

Combine like terms: 1 + -1 = 0
0 + x2 = 2 + -1
x2 = 2 + -1

Combine like terms: 2 + -1 = 1
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}