d. 4x2 - 36x + 56 = 0
<=> 4x2 - 8x - 28x + 56 = 0
<=> 4x(x - 2) - 28(x - 2) = 0
<=> (4x - 28)(x - 2) = 0
<=> \(\left[{}\begin{matrix}4x-28=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=7\\x=2\end{matrix}\right.\)
e. x3 - 7x - 6 = 0
<=> x3 + 1 - 7x - 7 = 0
<=> (x + 1)(x2 - x + 1) - 7(x + 1) = 0
<=> (x + 1)(x2 - x + 1 - 7) = 0
<=> (x + 1)(x2 - x - 6) = 0
<=> (x + 1)(x2 + 2x - 3x - 6) = 0
<=> (x + 1)\(\left[x\left(x+2\right)-3\left(x+2\right)\right]\) = 0
<=> (x + 1)(x - 3)(x + 2) = 0
<=> \(\left[{}\begin{matrix}x+1=0\\x-3=0\\x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=3\\x=-2\end{matrix}\right.\)
f. (x + 4)2 - (x + 1)(x - 1) = 16
<=> (x + 4)2 - x2 + 1 - 42 = 0
<=> 4(2x + 4) - 15 = 0
<=> 8x + 16 - 15 = 0
<=> 8x + 1 = 0
<=> 8x = -1
<=> x = \(\dfrac{-1}{8}\)