\(\left(a\right):2x-7\sqrt{x}+3=0\left(x\ge0\right)\\ < =>\left(2x-6\sqrt{x}\right)-\left(\sqrt{x}-3\right)=0\\ < =>2\sqrt{x}\left(\sqrt{x}-3\right)-\left(\sqrt{x}-3\right)=0\\ < =>\left(2\sqrt{x}-1\right)\left(\sqrt{x}-3\right)=0\\ =>\left[{}\begin{matrix}2\sqrt{x}-1=0\\\sqrt{x}-3=0\end{matrix}\right.\\ < =>\left[{}\begin{matrix}x=\dfrac{1}{4}\left(TM\right)\\x=9\left(TM\right)\end{matrix}\right.\)

\(\left(b\right):3\sqrt{x}+5< 6\\ < =>3\sqrt{x}< 1\\ < =>\sqrt{x}< \dfrac{1}{3}\\ < =>0\le x< \dfrac{1}{9}\)

\(\left(c\right):x-3\sqrt{x}-10< 0\\ < =>\left(x-5\sqrt{x}\right)+\left(2\sqrt{x}-10\right)< 0\\ < =>\sqrt{x}\left(\sqrt{x}-5\right)+2\left(\sqrt{x}-5\right)< 0\\ < =>\left(\sqrt{x}-5\right)\left(\sqrt{x}+2\right)< 0\\ =>\left\{{}\begin{matrix}\sqrt{x}-5< 0\\\sqrt{x}+2>0\end{matrix}\right.\\ < =>\left\{{}\begin{matrix}0\le x< 25\\x\ge0\end{matrix}\right.< =>0\le x< 25\)

\(\left(d\right):x-5\sqrt{x}+6=0\left(x\ge0\right)\\ < =>\left(x-2\sqrt{x}\right)-\left(3\sqrt{x}-6\right)=0\\ < =>\sqrt{x}\left(\sqrt{x}-2\right)-3\left(\sqrt{x}-2\right)=0\\ < =>\left(\sqrt{x}-3\right)\left(\sqrt{x}-2\right)=0\\ =>\left[{}\begin{matrix}\sqrt{x}-3=0\\\sqrt{x}-2=0\end{matrix}\right.\\ < =>\left[{}\begin{matrix}x=9\\x=4\end{matrix}\right.\left(TM\right)\)

\(\left(e\right):x+5\sqrt{x}-14< 0\\ < =>\left(x+7\sqrt{x}\right)-\left(2\sqrt{x}+14\right)< 0\\ < =>\sqrt{x}\left(\sqrt{x}+7\right)-2\left(\sqrt{x}+7\right)< 0\\ < =>\left(\sqrt{x}-2\right)\left(\sqrt{x}+7\right)< 0\\ =>\left\{{}\begin{matrix}\sqrt{x}+7>0\\\sqrt{x}-2< 0\end{matrix}\right.\\ < =>\left[{}\begin{matrix}x\ge0\\0\le x< 4\end{matrix}\right.< =>0\le x< 4\)

a) (x+5)(x-4)=0

<=> x+5=0 hoặc x-4=0

<=> x=-5 hoặc x=4

b) (x-1)(x-3)=0

<=> x-1=0 hoặc x-3=0

<=> x=1 hoặc x=3

a) (x+5).(9x-4)=0

=> x+5=0 hoặc 9x-4=0

Nếu x+5=0: x=0-5=-5

Nếu 9x-4=0: 9x=0+4=4

                     x=4/9

b) (x-1).(x-3)=0

=> x-1=0 hoặc x-3=0

Nếu x-1=0: x=0+1=1

Nếu x-3=0: x=0+3=3

c) (3-x).(x-3)=0

=> 3-x=0 hoặc x-3=0

Nếu 3-x=0: x=3-0=0

Nếu x-3=0: x=0+3=3

d) x.(x+1)=0

=> x=0 hoặc x+1=0

Nếu x+1=0: x=0-1=-1

\(a,\left(x+5\right)\left(9x-4\right)=0\)

<=>\(\orbr{\begin{cases}x+5=0\\9x-4=0\end{cases}}\)

<=>\(\orbr{\begin{cases}x=-5\\x=\frac{4}{9}\end{cases}}\)

\(b,\left(x-1\right)\left(x-3\right)=0\)

<=>\(\orbr{\begin{cases}x-1=0\\x-3=0\end{cases}}\)

<=>\(\orbr{\begin{cases}x=1\\x=3\end{cases}}\)

\(c,\left(3-x\right)\left(x-3\right)=0\)

<=>\(\orbr{\begin{cases}3-x=0\\x-3=0\end{cases}}\)

<=>\(\orbr{\begin{cases}x=3\\x=3\end{cases}}\)

\(d,x\left(x+1\right)=0\)

<=>\(\orbr{\begin{cases}x=0\\x+1=0\end{cases}}\)

<=>\(\orbr{\begin{cases}x=0\\x=-1\end{cases}}\)

a) (x + 5)(x - 4) = 0

x + 5 = 0 hoặc  x - 4=  0

x thuộc {-5 ; 4}

b) (x - 10)(x-  3) = 0

x - 10  = 0 hoặc x - 3 = 0

x thuộc {3;10}

c) (3 - x)(x - 3)  = 0

3 - x = 0 ; x - 3 = 0 

< = . x=  3 (thõa mãn cả 2 ĐK)

d) x(x + 1) = 0

x = 0 hoặc x+  1 = 0

=> x = -1

Vậy x thuộc {-1 ; 0} 

a)(x+5)(x-4)=0

nên x+5=0 hoặc x-4=0

x=0-5                 x=0+4

x=-5                   x=4

b)(x-10)(x-3)=0

nên x-10=0 hoặc x-3=0

x=0+10               x=0+3

x=10                   x=3

c)(3-x)(x-3)=0

nên 3-x=0 hoặc x-3=0

x=3-0               x=0+3

x=3

d)x(x+1)=0

nên x=0 hoặc x+1=0

                     x=0-1

                     x=-1

a/(x + 5).(x - 4) = 0

=> x + 5 = 0 => x = -5

hoặc x - 4 = 0 => x = 4

Vậy x = -5 , x = 4

 b/(x - 10).(x - 3) = 0 

=> x - 10 = 0 => x = 10

hoặc x - 3 = 0 => x = 3

Vậy x = 10, x = 3

c/(3 - x).(x - 3) = 0 

=> (3 - x)² = 0 => 3 - x = 0 => x = 3

Vậy x = 3

d/x.(x + 1) = 0

=> x = 0 

hoặc x + 1 = 0 => x = -1

Vậy x = 0 , x = -1

\(a,\left(x+2\right)^{10}+\left(x+2\right)^8=0\\ \Leftrightarrow\left(x+2\right)^8\left[\left(x+2\right)^2+1\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}\left(x+2\right)^8=0\\\left(x+2\right)^2+1=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x+2=0\\\left(x+2\right)^2=-1\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-2\\x\in\varnothing\end{matrix}\right.\\ b,\left(x+3\right)^{10}-\left(x+3\right)^8=0\\ \Leftrightarrow\left(x+3\right)^8\left[\left(x+3\right)^2-1\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}\left(x+3\right)^8=0\\\left(x+3\right)^2-1=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x+3=0\\\left(x+3\right)^2=1\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-3\\x+3=1\\x+3=-1\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-2\\x=-4\end{matrix}\right.\)