(5*11x-10)/(11x)=(5×7x+10)/(7x+4)

问题描述:

(5*11x-10)/(11x)=(5×7x+10)/(7x+4)
(5*11x-10)/(11x)=(5×7x+10)/(7x+4)

提取公因式得 [ 5 ( 11x - 2 ) ] / ( 11x ) = [ 5 ( 7x + 2 ) ] / ( 7x + 4 )
两边同除 5 得 ( 11x - 2 ) / ( 11x ) = ( 7x + 2 ) / ( 7x + 4 )
去分母得 ( 11x - 2 )( 7x + 4 ) = ( 7x + 2 )( 11x )
去括号得 77x² + 44x - 14x - 8 = 77x² + 22x
化简得 x = 1