3+2x-X^2=2x

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

Simplifying
3 + 2x + -1X2 = 2x

Reorder the terms:
3 + -1X2 + 2x = 2x

Add '-2x' to each side of the equation.
3 + -1X2 + 2x + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1X2 + 0 = 2x + -2x
3 + -1X2 = 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1X2 = 0

Solving
3 + -1X2 = 0

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + -3 + -1X2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X2 = 0 + -3
-1X2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1X2 = -3

Divide each side by '-1'.
X2 = 3

Simplifying
X2 = 3

Take the square root of each side:
X = {-1.732050808, 1.732050808}