3x^2+x-2=x

Solution for 3x^2+x-2=x equation:

Simplifying
3x2 + x + -2 = x

Reorder the terms:
-2 + x + 3x2 = x

Add '-1x' to each side of the equation.
-2 + x + -1x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
-2 + 0 + 3x2 = x + -1x
-2 + 3x2 = x + -1x

Combine like terms: x + -1x = 0
-2 + 3x2 = 0

Solving
-2 + 3x2 = 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 + 3x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x2 = 0 + 2
3x2 = 0 + 2

Combine like terms: 0 + 2 = 2
3x2 = 2

Divide each side by '3'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}