2x^2+x-6=x+2

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

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

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

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

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

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

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

Solving
-6 + 2x2 = 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 + 2x2 = 2 + 6

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

Combine like terms: 2 + 6 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

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