Question

(2/x+3)+(6/x+6)=1
tell me the equation​

Answer 1

$\bf \frac{2}{x + 3} + \frac{6}{x + 6} = 1 \\ \\ \bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{6}{x + 6} = 1 - \frac{2}{x + 3} \\ \\ \bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{6}{x + 6} = \frac{x + 3 - 2}{x + 3} \\ \\ \bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{6}{x + 6} = \frac{x + 1}{x + 3} \\ \\ \tt= > 6x + 18 = {x}^{2} + 7x + 6 \\ \tt= > \: \:0 = {x}^{2} + 7x - 6x + 6 - 18 \\ \tt= > {x}^{2} + x - 12 = 0 \\ \tt= > {x}^{2} + 4x - 3x - 12 = 0 \\ \tt= >x(x + 4) - 3(x + 4) = 0 \\ \tt= > (x + 4)(x - 3) = 0 \\ \\ \\{ \boxed { \huge { \sf{x = (- \: 4) \: \: or \: \: 3 }}}}$