Question

solve (x+3a) (x+2b)=6ab

Answer 1

( x + 3a ) ( x + 2b ) = 6 ab



=> x( x + 2b ) + 3a( x + 2b ) = 6ab

=> x( x ) + x( 2b ) + 3a( x ) + 3a( 2b ) = 6ab

=> x² + 2bx + 3ax + 6ab = 6ab

=> x² + 2bx + 3ax = 6ab - 6ab

=> x( x + 2b + 3a ) = 0




$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ \underline{ \: by \: zero \: product \: rule}}$



Hence,

x = 0

Or, x + 2b + 3a = 0

Or, x = - 2b - 3a

Answer 2

❤❤Here is your answer ✌ ✌

$\huge\underline {\red {\bold {Answer}}}$
( x + 3a ) ( x + 2b ) = 6 ab
=> x( x + 2b ) + 3a( x + 2b ) = 6ab
=> x( x ) + x( 2b ) + 3a( x ) + 3a( 2b ) = 6ab
=> x² + 2bx + 3ax + 6ab = 6ab 
=> x² + 2bx + 3ax = 6ab - 6ab 
=> x( x + 2b + 3a ) = 0

by zero productrule​ 
Hence, 
x = 0
Or, x + 2b + 3a = 0
Or, x = - 2b - 3a