Question

solve for x for following

Answer 1

( 4x -3 )/(2x+1 ) - 10(2x+1 )/(4x -3 ) = 3

Let ( 4x - 3 ) / ( 2x + 1 ) = a

a - 10/a = 3

a² - 10 = 3a

a² - 3a - 10 = 0

a² - 5a + 2a - 10 = 0

a( a - 5 ) + 2 ( a - 5 ) = 0

( a - 5 ) ( a + 2 ) = 0

a - 5 = 0 or a + 2 = 0

a = 5 or a = - 2

Put a = ( 4x -3 ) / ( 2x +1 )

( 4x - 3 ) / ( 2x + 1 ) = 5

4x -3 = 5( 2x + 1 )

4x - 3 = 10x + 5

-3 - 5 = 10x - 4x

-8 = 6x

( - 8 / 6 ) = x

( - 4/3 ) = x

x = - 4/3

I hope this helps you.

:)