( x-8).(x^3+8) = 0
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8 x 3 = 24
8 x 2 = 16
8 x 4 = 32
8 x 1 = 8
8 x 5 = 40
8 x 6 = 48
8 x 7 = 56
0 x 8 = 0
8 x 8 = 64
8 x 10 = 80
8 x 9 = 72
8 x 0 = 0
8 x 0 =0
8 x 8 =64
8 x 2 =16
8 x 4 =32
8 x 6 =48
8 x 9 =72
8 x 3 =24
8 x 7 =56
8 x 10 =80
8 x 0 =0
8 x 8 =64
8 x 2 =16
8 x 4 =32
8 x 6 =48
8 x 9 =72
8 x 3 =24
8 x 7 =56
8 x 10 =80
8 x 1 = 8
8 x 5 = 40
8 x 0 = 0
8 x 8 = 64
8 x 2 = 16
8 x 4 = 32
8 x 6 = 48
8 x 9 =72
8 x 3 = 24
8 x 7 = 56
8 x 10 = 80
\(a,\left(x+2\right)^{10}+\left(x+2\right)^8=0\\ \Leftrightarrow\left(x+2\right)^8\left[\left(x+2\right)^2+1\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}\left(x+2\right)^8=0\\\left(x+2\right)^2+1=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x+2=0\\\left(x+2\right)^2=-1\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-2\\x\in\varnothing\end{matrix}\right.\\ b,\left(x+3\right)^{10}-\left(x+3\right)^8=0\\ \Leftrightarrow\left(x+3\right)^8\left[\left(x+3\right)^2-1\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}\left(x+3\right)^8=0\\\left(x+3\right)^2-1=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x+3=0\\\left(x+3\right)^2=1\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-3\\x+3=1\\x+3=-1\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-2\\x=-4\end{matrix}\right.\)
\(\left|3x+2\right|=\left|x-8\right|\)
\(\Leftrightarrow\orbr{\begin{cases}3x+2=x-8\\3x+2=8-x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}3x-x=-8-2\\3x+x=8-2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=-10\\4x=6\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-5\\x=\frac{3}{2}\end{cases}}\)
\(x\left(3x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\3x+6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\3x=-6\end{cases}}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=-2\end{cases}}\)
\(\left(2x-4\right)\left(x^3-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}2x-4=0\\x^3-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=4\\x^3=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2\\x=1\end{cases}}\)
\(\left(4x-8\right)\left(5x+10\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}4x-8=0\\5x+10=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}4x=8\\5x=-10\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
\(\left|3x-10\right|=5\)
\(\Leftrightarrow\orbr{\begin{cases}3x-10=5\\3x-10=-5\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}3x=15\\3x=5\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=5\\x=\frac{5}{3}\end{cases}}\)
\(4x=20\Leftrightarrow x=5\)
\(-3x=9\Leftrightarrow x=-3\)
\(x+2=0\Leftrightarrow x=-2\)
\(\left[{}\begin{matrix}8+x=0\Leftrightarrow x=-8\\6-x=0\Leftrightarrow x=6\end{matrix}\right.\)
\(\left(x-8\right)\left(x^3+8\right)=0\)
\(\orbr{\begin{cases}x-8=0\\x^3+8=0\end{cases}}\)
\(\orbr{\begin{cases}x=0+8\\x^3=0-8\end{cases}}\)
\(\orbr{\begin{cases}x=8\\x^3=-8\end{cases}}\)
\(\orbr{\begin{cases}x=8\\x^3=\left(-2\right)^3\end{cases}}\)
\(\orbr{\begin{cases}x=8\\x=-2\end{cases}}\)