Question

4(2x-3)^2-(2x-3)-14=0​

Answer 1

Answer:

factors are 8/13 and 3/2

Step-by-step explanation:

4(2x - 3)² - (2x - 3) - 14 = 0

4([2x]² + 9 - 12x) - 2x + 3 = 0

4(4x² + 9 - 12x) - 2x + 3 = 0

16x² + 36 - 48x - 2x + 3 = 0

16x² - 50x - 39 = 0

16x² -(24+26) + 39

16x² - 24x - 26x + 39 = 0

8x(2x - 3).-13(2x - 3) = 0

(8x - 13)(2x - 3) = 0

8x - 13 = 0 , 2x - 3 = 0

8x = 13 , 2x = 3

x = 13/8 , x = 3/2

Answer 2

Answer:

x = 5/8 ,x = 5/2

Step-by-step explanation:

4 (2x - 3)^2 -(2x - 3) -14 =0

4 ( 4x^2 + 9 - 12x ) - 2x + 3 - 14 = 0

16x^2 + 36 - 48x - 2x + 3 - 14 = 0

16x^2 - 50x + 25 = 0

16x^2 - 10x - 40 x+ 25 = 0

2x ( 8x - 5) - 5 ( 8x - 5 ) = 0

( 2x - 5 ) ( 8x - 5 ) = 0

2x- 5= 0 , 8x- 5 = 0

2x = 5 , 8x = 5

x = 5/2 , x = 5/8