x^2+x-6=x-2

Solution for x^2+x-6=x-2 equation:

Simplifying
x2 + x + -6 = x + -2

Reorder the terms:
-6 + x + x2 = x + -2

Reorder the terms:
-6 + x + x2 = -2 + x

Add '-1x' to each side of the equation.
-6 + x + -1x + x2 = -2 + x + -1x

Combine like terms: x + -1x = 0
-6 + 0 + x2 = -2 + x + -1x
-6 + x2 = -2 + x + -1x

Combine like terms: x + -1x = 0
-6 + x2 = -2 + 0
-6 + x2 = -2

Solving
-6 + x2 = -2

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + x2 = -2 + 6

Combine like terms: -6 + 6 = 0
0 + x2 = -2 + 6
x2 = -2 + 6

Combine like terms: -2 + 6 = 4
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}