(3)/(2x - 1) = * - 3 Solve this equation using "Quadratic Factorisation".​

Question

`(3)/(2x - 1) = * - 3`

Solve this equation using "Quadratic Factorisation".​

Answer 1

x = 0 or

x = 3.5

Explanation:

`(3)/(2x - 1) =x-3\\\implies 3 = (x-3)(2x-1)\\\\\implies 3 = 2x^2 - x -6x +3\\\\\implies 3 = 2x^2 -7x +3\\\\\implies 2x^2 -7x =0\\\\\implies x(2x-7) =0\\\\\implies x = 0 \;\;\;\;\;or\;\;\;\;\;2x-7=0\\\\\implies x = 0 \;\;\;\;\;or\;\;\;\;\;2x=7\\\\\implies x = 0 \;\;\;\;\;or\;\;\;\;\;x=(7)/(2) \\\\\implies x = 0 \;\;\;\;\;or\;\;\;\;\;x=3.5`