Question

PLEASE HELP!!!! Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work.

Answer 1

|4x+3|=9+2x  if we square both sides, we can eliminate the absolute values signs...

16x^2+24x+9=81+36x+4x^2  subtract the right side from both sides

12x^2-12x-72=0  now we can factor

12(x^2-x-6)=0

12(x^2+2x-3x-6)=0

12(x(x+2)-3(x+2)=0

12(x-3)(x+2)

So:

x= -2 or 3