(x^2+x)-(x+2)=0

Solution for (x^2+x)-(x+2)=0 equation:

Simplifying
(x2 + x) + -1(x + 2) = 0

Reorder the terms:
(x + x2) + -1(x + 2) = 0

Remove parenthesis around (x + x2)
x + x2 + -1(x + 2) = 0

Reorder the terms:
x + x2 + -1(2 + x) = 0
x + x2 + (2 * -1 + x * -1) = 0
x + x2 + (-2 + -1x) = 0

Reorder the terms:
-2 + x + -1x + x2 = 0

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

Solving
-2 + x2 = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x2 = 0 + 2

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

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

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}