Question

Simplify this 3x – (8/x) = 2​

Answer 1

Solution :

$\: \: \: \: \: \: \: \: \: \:3x - \frac{8}{x} = 2$

$= > \frac{ {3x}^{2} - 8}{x} = 2$

$= > {3x}^{2} - 8 = 2x$

$= > {3x}^{2} - 2x - 8 = 0$

$= > {3x}^{2} - 6x + 4x - 8 = 0$

$= > 3x(x - 2) + 4(x - 2) = 0$

$= > (x - 2)(3x + 4)$

$= > x - 2 = 0 \: \: \: \: or \: \: \: \: 3x + 4 = 0$

$= > x = 2 \: \: \: \: or \: \: \: \: 3x = - 4$

$= > x = 2 \: \: \: \: or \: \: \: \: x = \frac{ - 4}{3}$

Answer 2

Answer:

$\: \: \: \: \: \: \: \: \: \:3x - \frac{8}{x} \\ = > \frac{ {3x}^{2} - 8}{x} \\ = > {3x}^{2} - 8 = 2x \\ = > {3x}^{2} - 2x - 8 = 0 \\ = > {3x}^{2} - 6x + 4x - 8 = 0 \\ = > 3x(x - 2) + 4(x - 2) = 0 \\ = > (x - 2)(3x + 4)=>(x−2)(3x+4) \\ = > x - 2 = 0 \: \: \: \: or \: \: \: \: 3x + 4 = 0 \\ = > x = 2 \: \: \: \: or \: \: \: \: 3x = - 4 \\ = > x = 2 \: \: \: \: or \: \: \: \: x = \frac{ - 4}{3}$