Answer:
#ans is downward..........
Explanation:
2x(2x+4) +8(2x+4)=96
4x^2 + 8x + 16x +32 =96
4x^2 + 24x = 96 -32
4x^2 + 24x= 64
4x^2 + 24x -64 =0
2(2x^2 + 12x -32)=0
2x^2 + 12x -32 =0
2x^2 + (16-4)x -32 =0
2x^2 + 16x -4x -32=0
2x(x+8)-4(x+8)=0
(x+8)(2x-4)=0
Either,
x+8=0
x= -8
or,
2x-4=0
2x=4
x= 4÷2
x=2
Hence, the value of x are 2 and -8.
#Hope it helps.