Đáp án+Giải thích các bước giải:
$a)4x+8=0\\4x=0-8\\4x=-8\\x=(-8):4\\x=-2$
$b) x^3 – 4x =0\\x(x^2-4)=0$`<=>`\(\left[ \begin{array}{l}x=0\\x^2-4=0\end{array} \right.\)$\\$`<=>` \(\left[ \begin{array}{l}x=0\\x^2=2^2\end{array} \right.\) $\\$`<=>`\(\left[ \begin{array}{l}x=0\\\left[ \begin{array}{l}x=2\\x=-2\end{array} \right. \end{array} \right.\)
$c) 3x2 – 2x =0\\2x.(3-1)=0\\2x.2=0\\2x=0\\x=0$
$d) 7x^2 – 63 =0\\7.(x^2-9)=0\\x^2-9=0\\x^2=3^3$`<=>`\(\left[ \begin{array}{l}x=3\\x=-3\end{array} \right.\)
$e) 9x – 3x^2=0\\3x.(3-x)=0$`<=>`\(\left[ \begin{array}{l}3x=0\\3-x=0\end{array} \right.\)$\\$`<=>` \(\left[ \begin{array}{l}x=0\\x=3\end{array} \right.\)
$g)2x^3 +54 =0\\2x^3=-54\\x^3=-54:2\\x^3=-27\\x^3=(-3)^3\\x=-3$
$h) (5 + 3x)(6 – 2x)=0$$\\$`<=>`\(\left[ \begin{array}{l}5+3x=0\\6-2x=0\end{array} \right.\) $\\$`<=>`\(\left[ \begin{array}{l}x=-\dfrac53\\x=3\end{array} \right.\)