Question

(3x+5/x-1) -10(x-1/3x+5) =-3​

Answer 1

Answer:

$x + 7 = 0 \: \: or \: \: x = - 7$

Step-by-step explanation:

$\frac{3x + 5}{x - 1} - 10(\frac{x - 1}{3x + 5} ) = - 3$

$\frac{3x + 5(3x + 5) - 10x + 10(x - 1)}{(x - 1)(3x + 5)} = - 3$

$\frac{9 {x}^{2} + 15x + 15x + 25 - 10 {x}^{2} + 10x + 10x - 10}{(x - 1)(3x + 5)} = - 3$

$- {x}^{2} + 50x + 15 =- 3(x - 1)(3x +5)$

$- {x}^{2} + 50x + 15 = (- 3x + 3)(3x + 5)$

$- {x}^{2} + 50x + 15 = - 9 {x}^{2} - 15x + 9x + 15$

$- {x}^{2} + 9 {x}^{2} + 50x + 6x - 15+ 15 =0$

$8 {x}^{2} + 56x - 0 = 0$

$8x(x + 7) = 0$

$x + 7 = \frac{0}{8x}$

$x + 7 = 0 \: \: or \: \: x = - 7$

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