Solve for x. i need with this problem.

x = 9

Step-by-step explanation:

Rule: the two interior angles F and E when added, equal <FGH.

so

6x + 16 + 60 = 13x + 13  Combine the terms on the left.

6x + 76 = 13x + 13          Subtract 13 from both sides.

6x + 76-13 = 13x             Combine

6x + 63 = 13x                  Subtract 6x from both sides.

63 = 7x                            Divide by 7

63/7 = x

x = 9

x = -2,  (-1 + √3 i ) / 2  ,   (-1 - √3 i) / 2.

Step-by-step explanation:

x^3 + 3x^2 + 3x + 2 = 0

f(-2) = -8 + 3*4 - 6 + 2

= -8 + 12 - 6 + 2

= 0

So (x + 2) is a factor . Dividing:

            x^2  + x  + 1

x + 2)   x^3 + 3x^2 + 3x + 2

           x^3 + 2x^2

                       x^2 + 3x

                       x^2 + 2x

                                 x + 2

                                  x + 2.

Solving  x^2 + x + 1:

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

      =  (-1 + √3 i ) / 2  ,   (-1 - √3 i) / 2.