Respuesta :

Answer:

There are two solutions for x;

x = 0

x = [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

Answer:

x = 0 or -3/2

Step-by-step explanation:

( 2 x +  3 ) ^2  −  6 x −  9  =  0 ---> distribute

4x^2 + 6x + 6x + 9 - 6x - 9 = 0 --> add the 9's together

4x^2 + 12x  - 6x = 0 --> combine like terms

4x^2 + 6x = 0 --> common factor

2(2x^2 + 3x) = 0 --> divide by 2 on both sides

2x^2 + 3x = 0

then you should use the quadratic formula (can't add here or the explanation would take too long)