Solve and classify the equation 1 2 x 2 3x 1 Then write

Solve and classify the equation 1 - 2 (x + 2) = -(3x + 1). Then write the solution using set builder notation.

1- 2x(x +2) = -(3x +1)

1 - 2x^2 - 4x = -3x -3

-2x^1 -4x +1 = -3x -3

-2x^2 -4x + 3x +1 +4 =0

-2x^2 - x + 5 =0

solve quadratic :

x = ( 1 +/- sqrt(1 +4*5*2) )/-4

= ( 1 +/- sqrt41 )/-4

= -1/4 +/- sqrt(41)/4

{ x } = { -1/4 + sqrt(41)/4 , -1/4 - sqrt(41)/4 }