a, \(\left(2x-4\right)\left(3x+12\right)=0\)

\(\Rightarrow\orbr{\begin{cases}2x-4=0\\3x+12=0\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}2x=4\\3x=-12\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}\)

b, \(697\div\frac{15x+364}{x}=17\)

\(\Rightarrow\frac{15x+364}{x}=697\div17\)

\(\Rightarrow\left(15x+364\right)\div x=41\)

\(\Rightarrow15x+364=41x\)

\(\Rightarrow15x-41x=-364\)

\(\Rightarrow-26x=-364\)

\(\Rightarrow x=-364\div\left(-26\right)\)

\(\Rightarrow x=14\)

\(697:\frac{15x+364}{x}=17\)

\(\left(=\right)\frac{15x+364}{x}=41\)

\(\left(=\right)15x+364=41.x\)

\(\left(=\right)41x-15x=364\)

\(\left(=\right)26x=364\)

\(\left(=\right)x=14\)

\(697:\frac{15x+364}{x}=17\)

\(\Rightarrow\frac{15x+364}{x}=697:17\)

\(\Rightarrow\frac{15x+364}{x}=41\)

\(\Rightarrow15x+364=41x\)

\(\Rightarrow41x-15x=364\)

\(\Rightarrow26x=364\)

\(\Rightarrow x=364:26\)

\(\Rightarrow x=14\)

Vậy x = 14

_Chúc bạn học tốt_

\(697:\frac{15x+364}{x}=17\)

\(\frac{15x+364}{x}=697:17\)

\(\frac{15x+364}{x}=41\)

\(15x+364=41x\)

\(41x-15x=364\)

\(26x=364\)

\(x=364:26\)

\(x=14\)

Vậy \(x=14\)

1/ =>[ (10 - x) . 2 + 5 ] : 3 = 5

=> (10 - x) .2 + 5 = 15

=> (10 - x) . 2 = 10

=> 10 - x = 5

=> x = 5

2/ => (15x + 364) : x = 41

=> 15x + 364 = 41x

=> 26x = 364

=> x = 14

\(697:\left(15x+364\right):x=17\)

\(\Leftrightarrow697:\left(15x+364\right)=17x\)

\(\Leftrightarrow697=17x\left(15x+364\right)\)

\(\Leftrightarrow255x^2+6188x-697=0\)

\(\Leftrightarrow nghiem-xau-minh-khong-lam-nhe!\)

(15x+364):x=697:17=41

15x+364=41x

364=41x-15x=26x

x=364: 26=14

[(x + 32) - 17] . 2 = 42

(x + 32) - 17 = 42 : 2

(x + 32) - 17 = 21

x + 32 = 21 + 17 

x + 32 = 38

x = 38 - 32

x = 6

Vậy x = 6

a) [ (x + 32 ) - 17 ] * 2 = 42

[ (x + 32 ) - 17 ] = 42 : 2

 (x + 32 ) - 17  = 21

 (x + 32 )  = 21 + 17 

 x + 32     = 38

x = 38 - 32

x = 6